Ugulava, Duglas; Zarnadze, David Canonical commutation relation for orbital operators corresponding to creation and annihilation operators. (English) Zbl 07731427 Bull. TICMI 27, No. 1, 9-20 (2023). MSC: 81S05 46N50 47B47 47B93 PDF BibTeX XML Cite \textit{D. Ugulava} and \textit{D. Zarnadze}, Bull. TICMI 27, No. 1, 9--20 (2023; Zbl 07731427) Full Text: Link
Zhang, Jing; Wang, Caishi; Zhang, Lixia; Zhang, Lu Generalized weighted number operators on functionals of discrete-time normal martingales. (English) Zbl 07719473 Stochastics 95, No. 6, 1078-1100 (2023). MSC: 60H40 81S25 PDF BibTeX XML Cite \textit{J. Zhang} et al., Stochastics 95, No. 6, 1078--1100 (2023; Zbl 07719473) Full Text: DOI arXiv
Han, Qi; Han, Yanan; Kou, Yaxin; Lu, Ziqiang Quantum mutual entropy in terms of local quantum Bernoulli noises. (English) Zbl 07649625 Commun. Stat., Theory Methods 52, No. 3, 515-522 (2023). MSC: 60H40 46E35 PDF BibTeX XML Cite \textit{Q. Han} et al., Commun. Stat., Theory Methods 52, No. 3, 515--522 (2023; Zbl 07649625) Full Text: DOI
Rabeie, A.; Rezaei, S. The ladder operators on \(1+1\)-de Sitter space. (English) Zbl 1483.81089 Int. J. Theor. Phys. 60, No. 10, 3850-3860 (2021). MSC: 81R30 81S30 83C15 81Q12 22E70 PDF BibTeX XML Cite \textit{A. Rabeie} and \textit{S. Rezaei}, Int. J. Theor. Phys. 60, No. 10, 3850--3860 (2021; Zbl 1483.81089) Full Text: DOI
Cho, Ilwoo Certain Banach-space operators acting on free Poisson elements induced by orthogonal projections. (English) Zbl 1455.46072 Dutta, Hemen (ed.), Topics in contemporary mathematical analysis and applications. Boca Raton, FL: CRC Press (ISBN 978-0-367-53266-6/hbk; 978-1-003-08119-7/ebook). Mathematics and its Applications: Modelling, Engineering, and Social Sciences, 1-48 (2021). MSC: 46L54 PDF BibTeX XML Cite \textit{I. Cho}, in: Topics in contemporary mathematical analysis and applications. Boca Raton, FL: CRC Press. 1--48 (2021; Zbl 1455.46072) Full Text: DOI
Mustafoeva, Z. E.; Rasulov, T. H. Relations for the spectrum of a \(3\times 3\) block operator matrix. (English) Zbl 1488.81024 Uzb. Math. J. 2020, No. 2, 134-144 (2020). MSC: 81Q10 35P20 47N50 PDF BibTeX XML Cite \textit{Z. E. Mustafoeva} and \textit{T. H. Rasulov}, Uzb. Math. J. 2020, No. 2, 134--144 (2020; Zbl 1488.81024) Full Text: DOI
Dilmurodov, E. B. New branches of the essential spectrum of a \(2\times 2\) operator matrix. (English) Zbl 1488.81022 Uzb. Math. J. 2020, No. 2, 44-51 (2020). MSC: 81Q10 35P20 47N50 PDF BibTeX XML Cite \textit{E. B. Dilmurodov}, Uzb. Math. J. 2020, No. 2, 44--51 (2020; Zbl 1488.81022) Full Text: DOI
Rasulov, T. H.; Dilmurodov, E. B. Infinite number of eigenvalues of \(2\times 2\) operator matrices: asymptotic discrete spectrum. (English. Russian original) Zbl 1458.81023 Theor. Math. Phys. 205, No. 3, 1564-1584 (2020); translation from Teor. Mat. Fiz. 205, No. 3, 368-390 (2020). MSC: 81Q10 81Q35 82D20 30H20 47A25 PDF BibTeX XML Cite \textit{T. H. Rasulov} and \textit{E. B. Dilmurodov}, Theor. Math. Phys. 205, No. 3, 1564--1584 (2020; Zbl 1458.81023); translation from Teor. Mat. Fiz. 205, No. 3, 368--390 (2020) Full Text: DOI
Muminov, Mukhiddin I.; Rasulov, Tulkin H.; Tosheva, Nargiza A. Analysis of the discrete Spectrum of the family SPECTRUM of \(3\times 3\) operator matrices. (English) Zbl 1453.81029 Commun. Math. Anal. 23, No. 1, 17-37 (2020). MSC: 81Q10 35P20 47N50 PDF BibTeX XML Cite \textit{M. I. Muminov} et al., Commun. Math. Anal. 23, No. 1, 17--37 (2020; Zbl 1453.81029) Full Text: arXiv Euclid
Cantuba, Rafael Reno S. Compactness property of Lie polynomials in the creation and annihilation operators of the \(q\)-oscillator. (English) Zbl 1468.17015 Lett. Math. Phys. 110, No. 10, 2639-2657 (2020). MSC: 17B15 81R10 81R50 PDF BibTeX XML Cite \textit{R. R. S. Cantuba}, Lett. Math. Phys. 110, No. 10, 2639--2657 (2020; Zbl 1468.17015) Full Text: DOI
Sontz, Stephen Bruce Toeplitz quantization of a free \(\ast\)-algebra. (English) Zbl 07244870 Bauer, Wolfram (ed.) et al., Operator algebras, Toeplitz operators and related topics. Selected papers based on the presentations at the international workshop, Boca del Rio, Veracruz, Mexico, November 13–19, 2018. In honor of Nikolai Vasilevskin on the occasion of his 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 279, 439-449 (2020). MSC: 47-XX 46Lxx PDF BibTeX XML Cite \textit{S. B. Sontz}, Oper. Theory: Adv. Appl. 279, 439--449 (2020; Zbl 07244870) Full Text: DOI arXiv
Dürr, Detlef; Goldstein, Sheldon; Teufel, Stefan; Tumulka, Roderich; Zanghì, Nino Bohmian trajectories for Hamiltonians with interior-boundary conditions. (English) Zbl 1455.81034 J. Stat. Phys. 180, No. 1-6, 34-73 (2020). Reviewer: Alexander Yurevich Vlasov (Sankt-Peterburg) MSC: 81T10 81P20 81Q10 81P05 81Q65 PDF BibTeX XML Cite \textit{D. Dürr} et al., J. Stat. Phys. 180, No. 1--6, 34--73 (2020; Zbl 1455.81034) Full Text: DOI arXiv
Sontz, Stephen Bruce Co-Toeplitz operators and their associated quantization. (English) Zbl 1501.47048 Adv. Oper. Theory 5, No. 3, 864-900 (2020). Reviewer: Norbert Hounkonnou (Cotonou) MSC: 47B35 47B02 81S05 PDF BibTeX XML Cite \textit{S. B. Sontz}, Adv. Oper. Theory 5, No. 3, 864--900 (2020; Zbl 1501.47048) Full Text: DOI arXiv
Koussa, W.; Attia, M.; Maamache, M. Pseudo-fermionic coherent states with time-dependent metric. (English) Zbl 1443.81036 J. Math. Phys. 61, No. 4, 042101, 9 p. (2020). MSC: 81Q12 81R30 81V73 81R15 81R05 PDF BibTeX XML Cite \textit{W. Koussa} et al., J. Math. Phys. 61, No. 4, 042101, 9 p. (2020; Zbl 1443.81036) Full Text: DOI
Durdevich, Micho; Sontz, Stephen Bruce Coherent states for the Manin plane via Toeplitz quantization. (English) Zbl 1455.81033 J. Math. Phys. 61, No. 2, 023502, 17 p. (2020). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 81S08 81R30 81S30 47B35 PDF BibTeX XML Cite \textit{M. Durdevich} and \textit{S. B. Sontz}, J. Math. Phys. 61, No. 2, 023502, 17 p. (2020; Zbl 1455.81033) Full Text: DOI arXiv
Singh, Rohit; Parthasarathy, Harish; Singh, Jyotsna Quantum image restoration based on Hudson-Parthasarathy Schrödinger equation. (Quantum image restoration based on Hudson-Parthasarathy Schrodinger equation.) (English) Zbl 1508.81536 Quantum Inf. Process. 18, No. 11, Paper No. 351, 29 p. (2019). MSC: 81P68 94A08 PDF BibTeX XML Cite \textit{R. Singh} et al., Quantum Inf. Process. 18, No. 11, Paper No. 351, 29 p. (2019; Zbl 1508.81536) Full Text: DOI
Schmidt, Julian; Teufel, Stefan; Tumulka, Roderich Interior-boundary conditions for many-body Dirac operators and codimension-1 boundaries. (English) Zbl 1509.81464 J. Phys. A, Math. Theor. 52, No. 29, Article ID 295202, 27 p. (2019). MSC: 81Q05 81Q10 81Q12 PDF BibTeX XML Cite \textit{J. Schmidt} et al., J. Phys. A, Math. Theor. 52, No. 29, Article ID 295202, 27 p. (2019; Zbl 1509.81464) Full Text: DOI arXiv
Rasulov, Tulkin H.; Dilmurodov, Elyor B. Eigenvalues and virtual levels of a family of \(2\times 2\) operator matrices. (English) Zbl 1449.81020 Methods Funct. Anal. Topol. 25, No. 3, 272-279 (2019). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 81Q10 47N50 PDF BibTeX XML Cite \textit{T. H. Rasulov} and \textit{E. B. Dilmurodov}, Methods Funct. Anal. Topol. 25, No. 3, 272--279 (2019; Zbl 1449.81020) Full Text: arXiv Link
Lytvynov, Eugene Representations of the anyon commutation relations. (English) Zbl 07121445 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 309-327 (2019). MSC: 47L10 47L60 47L90 81R10 PDF BibTeX XML Cite \textit{E. Lytvynov}, in: Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2--8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th ``School of geometry and physics''. Cham: Birkhäuser. 309--327 (2019; Zbl 07121445) Full Text: DOI
Lichnerowicz, André Republication of: “Propagators, commutators and anti-commutators in general relativity”. (English) Zbl 1402.83046 Gen. Relativ. Gravitation 50, No. 11, Paper No. 145, 44 p. (2018). MSC: 83C47 83C60 81T05 PDF BibTeX XML Cite \textit{A. Lichnerowicz}, Gen. Relativ. Gravitation 50, No. 11, Paper No. 145, 44 p. (2018; Zbl 1402.83046) Full Text: DOI
Zhou, Yulan; Zhao, Dandan The annihilator operator and the creator operator on the interacting Fock space \({l^2} (\Gamma)\). (Chinese. English summary) Zbl 1413.47041 J. Sichuan Norm. Univ., Nat. Sci. 41, No. 3, 338-342 (2018). MSC: 47B32 47B44 PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{D. Zhao}, J. Sichuan Norm. Univ., Nat. Sci. 41, No. 3, 338--342 (2018; Zbl 1413.47041) Full Text: DOI
Aptekarev, A. I.; Lapik, M. A.; Orlov, Yu. N. Asymptotic behavior of the spectrum of combination scattering at Stokes phonons. (English. Russian original) Zbl 1387.81398 Theor. Math. Phys. 193, No. 1, 1480-1497 (2017); translation from Teor. Mat. Fiz. 193, No. 1, 84-103 (2017). MSC: 81V80 81Q05 81U10 82D20 81V70 PDF BibTeX XML Cite \textit{A. I. Aptekarev} et al., Theor. Math. Phys. 193, No. 1, 1480--1497 (2017; Zbl 1387.81398); translation from Teor. Mat. Fiz. 193, No. 1, 84--103 (2017) Full Text: DOI
Robinson, T. R. The equally spaced energy levels of the quantum harmonic oscillator revisited: a back-to-front reconstruction of an \(n\)-body Hamiltonian. (English) Zbl 1386.81079 Eur. J. Phys. 38, No. 6, Article ID 065403, 14 p. (2017). MSC: 81Q10 81V70 PDF BibTeX XML Cite \textit{T. R. Robinson}, Eur. J. Phys. 38, No. 6, Article ID 065403, 14 p. (2017; Zbl 1386.81079) Full Text: DOI
Sargolzaeipor, Sepideh; Hassanabadi, Hassan; Boumali, Abdelmalek Morse potential of the \(q\)-deformed in the Duffin-Kemmer-Petiau equation. (English) Zbl 1375.81141 Int. J. Geom. Methods Mod. Phys. 14, No. 7, Article ID 1750112, 7 p. (2017). MSC: 81R50 17B37 81Q05 81R25 81R05 81R15 PDF BibTeX XML Cite \textit{S. Sargolzaeipor} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 7, Article ID 1750112, 7 p. (2017; Zbl 1375.81141) Full Text: DOI
Roy, Shibdas; Petersen, Ian R.; Huntington, Elanor H. Coherent-classical estimation for linear quantum systems. (English) Zbl 1376.93103 Automatica 82, 109-117 (2017). MSC: 93E10 81Q93 93E11 93C05 PDF BibTeX XML Cite \textit{S. Roy} et al., Automatica 82, 109--117 (2017; Zbl 1376.93103) Full Text: DOI arXiv
Mourya, Brijesh Kumar; Mandal, Bhabani Prasad Green’s function of a general PT-symmetric non-Hermitian non-central potential. (English) Zbl 1402.81156 Bagarello, Fabio (ed.) et al., Non-Hermitian Hamiltonians in quantum physics. Selected contributions from the 15th international conference on non-Hermitian Hamiltonians in quantum physics, Palermo, Italy, May 18–23, 2015. Cham: Springer (ISBN 978-3-319-31354-2/hbk; 978-3-319-31356-6/ebook). Springer Proceedings in Physics 184, 319-327 (2016). MSC: 81Q12 35J08 PDF BibTeX XML Cite \textit{B. K. Mourya} and \textit{B. P. Mandal}, Springer Proc. Phys. 184, 319--327 (2016; Zbl 1402.81156) Full Text: DOI arXiv
Aouachria, Mekki Generalized Jaynes-Cummings model with a pseudo-Hermitian: a path integral approach. (English) Zbl 1402.81270 Bagarello, Fabio (ed.) et al., Non-Hermitian Hamiltonians in quantum physics. Selected contributions from the 15th international conference on non-Hermitian Hamiltonians in quantum physics, Palermo, Italy, May 18–23, 2015. Cham: Springer (ISBN 978-3-319-31354-2/hbk; 978-3-319-31356-6/ebook). Springer Proceedings in Physics 184, 67-81 (2016). MSC: 81V80 81Q12 81S40 PDF BibTeX XML Cite \textit{M. Aouachria}, Springer Proc. Phys. 184, 67--81 (2016; Zbl 1402.81270) Full Text: DOI
Hatami, N.; Setare, M. R. The \(\mathrm q\)-deformed Dirac oscillator in \(2+1\) dimensions. (English) Zbl 1360.81203 Phys. Lett., A 380, No. 42, 3469-3472 (2016). MSC: 81R15 81V70 PDF BibTeX XML Cite \textit{N. Hatami} and \textit{M. R. Setare}, Phys. Lett., A 380, No. 42, 3469--3472 (2016; Zbl 1360.81203) Full Text: DOI
Keppeler, Stefan; Sieber, Martin Particle creation and annihilation at interior boundaries: one-dimensional models. (English) Zbl 1343.81161 J. Phys. A, Math. Theor. 49, No. 12, Article ID 125204, 27 p. (2016). MSC: 81T10 81Q10 34B27 81R15 81Q20 81Q35 PDF BibTeX XML Cite \textit{S. Keppeler} and \textit{M. Sieber}, J. Phys. A, Math. Theor. 49, No. 12, Article ID 125204, 27 p. (2016; Zbl 1343.81161) Full Text: DOI arXiv Link
Rasulov, T. Kh. Branches of the essential spectrum of the lattice spin-boson model with at most two photons. (English. Russian original) Zbl 1338.81439 Theor. Math. Phys. 186, No. 2, 251-267 (2016); translation from Teor. Mat. Fiz. 186, No. 2, 293-310 (2016). MSC: 81V80 81T25 81Q10 PDF BibTeX XML Cite \textit{T. Kh. Rasulov}, Theor. Math. Phys. 186, No. 2, 251--267 (2016; Zbl 1338.81439); translation from Teor. Mat. Fiz. 186, No. 2, 293--310 (2016) Full Text: DOI
Ficek, Zbigniew Problems and solutions in quantum physics. (English) Zbl 1350.81001 Singapore: Pan Stanford Publishing (ISBN 978-981-4669-36-8/hbk; 978-981-4669-37-5/ebook). 186 p. (2016). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 81-01 00A07 00A69 PDF BibTeX XML Cite \textit{Z. Ficek}, Problems and solutions in quantum physics. Singapore: Pan Stanford Publishing (2016; Zbl 1350.81001) Full Text: DOI
Teufel, Stefan; Tumulka, Roderich Avoiding ultraviolet divergence by means of interior-boundary conditions. (English) Zbl 1338.81296 Finster, Felix (ed.) et al., Quantum mathematical physics. A bridge between mathematics and physics. Selected papers based on the presentations at the international conference, Regensburg, Germany, September 29 – October 2, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-26900-9/hbk; 978-3-319-26902-3/ebook). 293-311 (2016). MSC: 81T15 81T10 81Q10 35F16 35Q41 PDF BibTeX XML Cite \textit{S. Teufel} and \textit{R. Tumulka}, in: Quantum mathematical physics. A bridge between mathematics and physics. Selected papers based on the presentations at the international conference, Regensburg, Germany, September 29 -- October 2, 2014. Cham: Birkhäuser/Springer. 293--311 (2016; Zbl 1338.81296) Full Text: DOI arXiv
Yin, Zongbin; Yang, Qigui Distributionally scrambled set for an annihilation operator. (English) Zbl 1330.81103 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 13, Article ID 1550178, 13 p. (2015). MSC: 81Q50 37D45 37B05 PDF BibTeX XML Cite \textit{Z. Yin} and \textit{Q. Yang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 13, Article ID 1550178, 13 p. (2015; Zbl 1330.81103) Full Text: DOI
Goodenough, Silvia; Lavault, Christian Overview on Heisenberg-Weyl algebra and subsets of Riordan subgroups. (English) Zbl 1323.05134 Electron. J. Comb. 22, No. 4, Research Paper P4.16, 40 p. (2015). MSC: 05E10 05A05 05A10 05A15 22E10 81R15 PDF BibTeX XML Cite \textit{S. Goodenough} and \textit{C. Lavault}, Electron. J. Comb. 22, No. 4, Research Paper P4.16, 40 p. (2015; Zbl 1323.05134) Full Text: arXiv Link
Muminov, M. É.; Rasulov, T. Kh. An eigenvalue multiplicity formula for the Schur complement of a \(3\times3\) block operator matrix. (English. Russian original) Zbl 1323.47010 Sib. Math. J. 56, No. 4, 699-713 (2015); translation from Sib. Mat. Zh. 56, No. 4, 878-895 (2015). MSC: 47A56 81Q10 PDF BibTeX XML Cite \textit{M. É. Muminov} and \textit{T. Kh. Rasulov}, Sib. Math. J. 56, No. 4, 699--713 (2015; Zbl 1323.47010); translation from Sib. Mat. Zh. 56, No. 4, 878--895 (2015) Full Text: DOI
Bru, Jean-Bernard; De Siqueira Pedra, Walter; Hertling, Carolin Heat production of noninteracting fermions subjected to electric fields. (English) Zbl 1342.81120 Commun. Pure Appl. Math. 68, No. 6, 964-1013 (2015). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 81Q10 47L05 82C10 46L55 82C44 81V70 82B30 80A10 PDF BibTeX XML Cite \textit{J.-B. Bru} et al., Commun. Pure Appl. Math. 68, No. 6, 964--1013 (2015; Zbl 1342.81120) Full Text: DOI arXiv Link
Rasulov, T. H.; Dilmurodov, E. B. Investigations of the numerical range of a operator matrix. (Russian. English summary) Zbl 1413.81022 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2014, No. 2(35), 50-63 (2014). MSC: 81Q10 35P20 47N50 PDF BibTeX XML Cite \textit{T. H. Rasulov} and \textit{E. B. Dilmurodov}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2014, No. 2(35), 50--63 (2014; Zbl 1413.81022) Full Text: DOI MNR
Li, G. R.; Zhang, X. Z.; Song, Z. Complete particle-pair annihilation as a dynamical signature of the spectral singularity. (English) Zbl 1343.81254 Ann. Phys. 349, 288-296 (2014). MSC: 81V70 82C22 81Q12 82C10 PDF BibTeX XML Cite \textit{G. R. Li} et al., Ann. Phys. 349, 288--296 (2014; Zbl 1343.81254) Full Text: DOI arXiv
Rasulov, T. Kh.; Umarova, I. O. Spectrum and resolvent of a block operator matrix. (Russian. English summary) Zbl 1327.81202 Sib. Èlektron. Mat. Izv. 11, 334-344 (2014). MSC: 81Q10 47A10 81Q35 30H20 PDF BibTeX XML Cite \textit{T. Kh. Rasulov} and \textit{I. O. Umarova}, Sib. Èlektron. Mat. Izv. 11, 334--344 (2014; Zbl 1327.81202) Full Text: Link
Wu, Xinxing; Zhu, Peiyong Linear chaos in the quantum harmonic oscillator. (English) Zbl 1312.81087 J. Syst. Sci. Complex. 27, No. 4, 694-700 (2014). MSC: 81Q50 PDF BibTeX XML Cite \textit{X. Wu} and \textit{P. Zhu}, J. Syst. Sci. Complex. 27, No. 4, 694--700 (2014; Zbl 1312.81087) Full Text: DOI
Yodgorov, G. R.; Ismail, F.; Muminov, Z. I. A description of the location and structure of the essential spectrum of a model operator in a subspace of a Fock space. (English. Russian original) Zbl 1335.35169 Sb. Math. 205, No. 12, 1761-1774 (2014); translation from Mat. Sb. 205, No. 12, 85-98 (2014). MSC: 35P20 47N50 81Q10 81V70 PDF BibTeX XML Cite \textit{G. R. Yodgorov} et al., Sb. Math. 205, No. 12, 1761--1774 (2014; Zbl 1335.35169); translation from Mat. Sb. 205, No. 12, 85--98 (2014) Full Text: DOI
Kumar, R.; Gupta, S.; Malik, R. P. An interacting gauge field theoretic model for Hodge theory: basic canonical brackets. (English) Zbl 1293.81031 Commun. Theor. Phys. 61, No. 6, 715-728 (2014). MSC: 81T13 81V10 81R15 14C30 81S05 PDF BibTeX XML Cite \textit{R. Kumar} et al., Commun. Theor. Phys. 61, No. 6, 715--728 (2014; Zbl 1293.81031) Full Text: DOI arXiv
Popa, Mihai A Fock space model for addition and multiplication of c-free random variables. (English) Zbl 1304.46058 Proc. Am. Math. Soc. 142, No. 6, 2001-2012 (2014). MSC: 46L54 30H20 PDF BibTeX XML Cite \textit{M. Popa}, Proc. Am. Math. Soc. 142, No. 6, 2001--2012 (2014; Zbl 1304.46058) Full Text: DOI arXiv
Petrat, Sören; Tumulka, Roderich Multi-time formulation of pair creation. (English) Zbl 1286.81069 J. Phys. A, Math. Theor. 47, No. 11, Article ID 112001, 11 p. (2014). MSC: 81Q05 81R15 81T10 70H40 81Q99 81T99 PDF BibTeX XML Cite \textit{S. Petrat} and \textit{R. Tumulka}, J. Phys. A, Math. Theor. 47, No. 11, Article ID 112001, 11 p. (2014; Zbl 1286.81069) Full Text: DOI arXiv
Wu, Xinxing; Chen, Guanrong On the invariance of maximal distributional chaos under an annihilation operator. (English) Zbl 1370.37073 Appl. Math. Lett. 26, No. 12, 1134-1140 (2013). MSC: 37D45 70K55 PDF BibTeX XML Cite \textit{X. Wu} and \textit{G. Chen}, Appl. Math. Lett. 26, No. 12, 1134--1140 (2013; Zbl 1370.37073) Full Text: DOI
Stan, Aurel I. Symmetric random vectors for which the joint quantum operators span a Lie algebra. (English) Zbl 1298.60072 Int. J. Math. Game Theory Algebra 22, No. 1, 27-110 (2013). Reviewer: Dmitri Artamonov (Moscow) MSC: 60H40 46L53 PDF BibTeX XML Cite \textit{A. I. Stan}, Int. J. Math. Game Theory Algebra 22, No. 1, 27--110 (2013; Zbl 1298.60072)
Sontz, Stephen Bruce A reproducing kernel and Toeplitz operators in the quantum plane. (English) Zbl 1297.46023 Commun. Math. 21, No. 2, 137-160 (2013). MSC: 46E22 47B32 47B35 81S99 46L89 PDF BibTeX XML Cite \textit{S. B. Sontz}, Commun. Math. 21, No. 2, 137--160 (2013; Zbl 1297.46023) Full Text: arXiv Link
Murzashev, A. I. Energy spectrum and optical transitions in fullerene \(\mathrm{C}_{70}\). (English. Russian original) Zbl 1329.81439 Russ. Phys. J. 55, No. 5, 524-531 (2012); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 55, No. 5, 49–54 (2012). MSC: 81V80 82D20 81Q15 81Q10 81V70 PDF BibTeX XML Cite \textit{A. I. Murzashev}, Russ. Phys. J. 55, No. 5, 524--531 (2012; Zbl 1329.81439); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 55, No. 5, 49--54 (2012) Full Text: DOI
Mendl, Christian B. The FermiFab toolbox for fermionic many-particle quantum systems. (English) Zbl 1262.81272 Comput. Phys. Commun. 182, No. 6, 1327-1337 (2011). MSC: 81V70 81S05 81R15 81Q10 81-04 81-08 PDF BibTeX XML Cite \textit{C. B. Mendl}, Comput. Phys. Commun. 182, No. 6, 1327--1337 (2011; Zbl 1262.81272) Full Text: DOI arXiv
El-Desouky, B. S. Generalized Stirling numbers of the first kind: modified approach. (English) Zbl 1321.11029 J. Pure Appl. Math., Adv. Appl. 5, No. 1, 43-59 (2011). MSC: 11B73 05A19 PDF BibTeX XML Cite \textit{B. S. El-Desouky}, J. Pure Appl. Math., Adv. Appl. 5, No. 1, 43--59 (2011; Zbl 1321.11029)
Drożdżewicz, Krzysztof; Matysiak, Wojciech Moments and \(q\)-commutators of noncommutative random vectors. (English) Zbl 1239.46045 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 14, No. 4, 629-645 (2011). MSC: 46L53 81S05 62H05 PDF BibTeX XML Cite \textit{K. Drożdżewicz} and \textit{W. Matysiak}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 14, No. 4, 629--645 (2011; Zbl 1239.46045) Full Text: DOI arXiv
Toom, A.; Ramos, A.; Rocha, A.; Simas, A. Random processes with variable length. 28th Brazilian Mathematics Colloquium, Rio de Janeiro, Brazil, July 2011. (Processos aleatórios com comprimento variável. 28\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brasil, Julho 2011.) (English) Zbl 1244.60101 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0331-6). vi, 107 p. (2011). Reviewer: Anatoliy Pogorui (Zhytomyr) MSC: 60K99 60C05 60K35 PDF BibTeX XML Cite \textit{A. Toom} et al., Processos aleatórios com comprimento variável. 28\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brasil, Julho 2011. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2011; Zbl 1244.60101) Full Text: Link
Stan, Aurel I. Two-dimensional Meixner random vectors of class \({\mathcal{M}}_{L}\). (English) Zbl 1210.60074 J. Theor. Probab. 24, No. 1, 39-65 (2011). MSC: 60H40 47B47 46L53 PDF BibTeX XML Cite \textit{A. I. Stan}, J. Theor. Probab. 24, No. 1, 39--65 (2011; Zbl 1210.60074) Full Text: DOI arXiv
Kochubei, Anatoly N. Non-Archimedean shift operators. (English) Zbl 1270.47069 \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 3, 260-264 (2010). MSC: 47S10 47B37 47A46 47A16 PDF BibTeX XML Cite \textit{A. N. Kochubei}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 3, 260--264 (2010; Zbl 1270.47069) Full Text: DOI arXiv
Bebiano, Natalia; Da Providencia, Joao; Da Providencia, Joao P. Classes of non-Hermitian operators with real eigenvalues. (English) Zbl 1237.47044 Electron. J. Linear Algebra 21, 98-109 (2010). Reviewer: Aleksey Kostenko (Donetsk) MSC: 47B50 47A63 81Q10 PDF BibTeX XML Cite \textit{N. Bebiano} et al., Electron. J. Linear Algebra 21, 98--109 (2010; Zbl 1237.47044) Full Text: DOI arXiv EMIS
Brezinski, C.; Redivo-Zaglia, M. Extended procedures for extrapolation to the limit. (English) Zbl 1200.65001 J. Comput. Appl. Math. 235, No. 3, 631-645 (2010). MSC: 65B05 PDF BibTeX XML Cite \textit{C. Brezinski} and \textit{M. Redivo-Zaglia}, J. Comput. Appl. Math. 235, No. 3, 631--645 (2010; Zbl 1200.65001) Full Text: DOI
Intissar, Abdelkader An elementary construction on nonlinear coherent states associated to generalized Bargmann spaces. (English) Zbl 1204.46016 Int. J. Math. Math. Sci. 2010, Article ID 357050, 15 p. (2010). Reviewer: Stephen B. Sontz (Guanajuato) (MR2600884) MSC: 46E22 47D06 81R30 PDF BibTeX XML Cite \textit{A. Intissar}, Int. J. Math. Math. Sci. 2010, Article ID 357050, 15 p. (2010; Zbl 1204.46016) Full Text: DOI EuDML
Kandaswamy, D.; Blu, T.; van de Ville, D. Analytic sensing: noniterative retrieval of point sources from boundary measurements. (English) Zbl 1203.65233 SIAM J. Sci. Comput. 31, No. 4, 3179-3194 (2009). Reviewer: Angela Handlovičová (Bratislava) MSC: 65N21 35J05 35R30 PDF BibTeX XML Cite \textit{D. Kandaswamy} et al., SIAM J. Sci. Comput. 31, No. 4, 3179--3194 (2009; Zbl 1203.65233) Full Text: DOI
Boos, H.; Jimbo, M.; Miwa, T.; Smirnov, F.; Takeyama, Y. Hidden Grassmann structure in the \(XXZ\) model. II: Creation operators. (English) Zbl 1173.82003 Commun. Math. Phys. 286, No. 3, 875-932 (2009). MSC: 82B20 PDF BibTeX XML Cite \textit{H. Boos} et al., Commun. Math. Phys. 286, No. 3, 875--932 (2009; Zbl 1173.82003) Full Text: DOI arXiv
Ji, Un Cig; Obata, Nobuaki Quantum stochastic integral representations of Fock space operators. (English) Zbl 1178.81146 Stochastics 81, No. 3-4, 367-384 (2009). MSC: 81S25 46F25 PDF BibTeX XML Cite \textit{U. C. Ji} and \textit{N. Obata}, Stochastics 81, No. 3--4, 367--384 (2009; Zbl 1178.81146) Full Text: DOI
Tashpulatov, S. M. Spectra and bound states of the energy operator of two-magnon system in a non-Heisenberg ferromagnet with spin \(S=3/2\) and nearest-neighbor interactions. (English) Zbl 1177.82124 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12, No. 1, 117-133 (2009). Reviewer: Miyeon Kwon (Platteville, WI) MSC: 82D40 81Q10 46L60 47L90 70H06 45B05 34L05 PDF BibTeX XML Cite \textit{S. M. Tashpulatov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12, No. 1, 117--133 (2009; Zbl 1177.82124) Full Text: DOI
Stan, Aurel I.; Whitaker, John J. A study of probability measures through commutators. (English) Zbl 1170.60324 J. Theor. Probab. 22, No. 1, 123-145 (2009). Reviewer: George Stoica (Saint John) MSC: 60H40 05E35 PDF BibTeX XML Cite \textit{A. I. Stan} and \textit{J. J. Whitaker}, J. Theor. Probab. 22, No. 1, 123--145 (2009; Zbl 1170.60324) Full Text: DOI
Ali, Abdulmuhsen H. The ensemble quantum state of a single particle. (English) Zbl 1161.81446 Int. J. Theor. Phys. 48, No. 1, 194-212 (2009). MSC: 81V70 81S05 PDF BibTeX XML Cite \textit{A. H. Ali}, Int. J. Theor. Phys. 48, No. 1, 194--212 (2009; Zbl 1161.81446) Full Text: DOI
Stan, A. I.; Whitaker, J. J. A method of recovering the moments of a probability measure from commutators. (English) Zbl 1177.81065 García, Julio César (ed.) et al., Quantum probability and related topics. Proceedings of the 28th conference, CIMAT-Guanajuato, Mexico, 2–8 September 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-526-0/hbk). QP-PQ: Quantum Probability and White Noise Analysis 23, 242-253 (2008). MSC: 81R15 81Q10 PDF BibTeX XML Cite \textit{A. I. Stan} and \textit{J. J. Whitaker}, in: Quantum probability and related topics. Proceedings of the 28th conference, CIMAT-Guanajuato, Mexico, 2--8 September 2007. Hackensack, NJ: World Scientific. 242--253 (2008; Zbl 1177.81065)
Prykarpatsky, Anatoliy K.; Bogoliubov, Nikolai N. jun.; Golenia, Jolanta; Taneri, Ufuk Introductive backgrounds to modern quantum mathematics with application to nonlinear dynamical systems. (English) Zbl 1160.81312 Int. J. Theor. Phys. 47, No. 11, 2882-2897 (2008). MSC: 81P05 81S05 81T05 46L60 37L05 PDF BibTeX XML Cite \textit{A. K. Prykarpatsky} et al., Int. J. Theor. Phys. 47, No. 11, 2882--2897 (2008; Zbl 1160.81312) Full Text: DOI arXiv
Tashpulatov, S. M. One-magnon systems in an anisotropic non-Heisenberg ferromagnetic impurity model. (English) Zbl 1203.82117 Int. J. Theor. Phys. Group Theory Nonlinear Opt. 12, No. 3, 163-175 (2008). MSC: 82D40 82B20 PDF BibTeX XML Cite \textit{S. M. Tashpulatov}, Int. J. Theor. Phys. Group Theory Nonlinear Opt. 12, No. 3, 163--175 (2008; Zbl 1203.82117)
Borzov, V. V. Generalized oscillator and its coherent states. (English. Russian original) Zbl 1146.81029 Theor. Math. Phys. 153, No. 3, 1656-1670 (2007); translation from Teor. Mat. Fiz. 153, No. 3, 363-380 (2007). MSC: 81R30 81Q05 81Q10 81R15 33C45 PDF BibTeX XML Cite \textit{V. V. Borzov}, Theor. Math. Phys. 153, No. 3, 1656--1670 (2007; Zbl 1146.81029); translation from Teor. Mat. Fiz. 153, No. 3, 363--380 (2007) Full Text: DOI
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel Moments and commutators of probability measures. (English) Zbl 1139.60330 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10, No. 4, 591-612 (2007). MSC: 60H40 81S05 81S25 47N50 PDF BibTeX XML Cite \textit{L. Accardi} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10, No. 4, 591--612 (2007; Zbl 1139.60330) Full Text: DOI
Tashpulatov, S. M. Spectra and local impurity states of one-magnon systems in an anisotropic non-Heisenberg ferromagnetic impurity model. (English) Zbl 1135.82039 Appl. Math. Inf. Sci. 1, No. 3, 247-262 (2007). MSC: 82D40 82B20 PDF BibTeX XML Cite \textit{S. M. Tashpulatov}, Appl. Math. Inf. Sci. 1, No. 3, 247--262 (2007; Zbl 1135.82039)
Quezada-Batalla, R.; González-Gaxiola, O. On the Hamiltonian of a class of quantum stochastic processes. (English. Russian original) Zbl 1133.81042 Math. Notes 81, No. 6, 734-752 (2007); translation from Mat. Zametki 81, No. 6, 816-837 (2007). MSC: 81S25 47D06 47N50 PDF BibTeX XML Cite \textit{R. Quezada-Batalla} and \textit{O. González-Gaxiola}, Math. Notes 81, No. 6, 734--752 (2007; Zbl 1133.81042); translation from Mat. Zametki 81, No. 6, 816--837 (2007) Full Text: DOI
von Waldenfels, Wilhelm Creation and annihilation operators on locally compact spaces. (English) Zbl 1134.81033 Cruzeiro, Ana Bela (ed.) et al., Mathematical analysis of random phenomena. Proceedings of the international conference, Hammamet, Tunisia, September 12–17, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-603-4/hbk). 191-212 (2007). Reviewer: Uwe Franz (Besançon) MSC: 81S25 81S05 46N50 PDF BibTeX XML Cite \textit{W. von Waldenfels}, in: Mathematical analysis of random phenomena. Proceedings of the international conference, Hammamet, Tunisia, September 12--17, 2005. Hackensack, NJ: World Scientific. 191--212 (2007; Zbl 1134.81033)
Merkli, Marco The ideal quantum gas. (English) Zbl 1188.82009 Attal, Stéphane (ed.) et al., Open quantum systems I. The Hamiltonian approach. Lecture notes of the summer school, Grenoble, France June 16th – July 4th 2003. Berlin: Springer (ISBN 3-540-30991-8/pbk). Lecture Notes in Mathematics 1880, 183-233 (2006). MSC: 82B10 82-01 46L60 46N55 PDF BibTeX XML Cite \textit{M. Merkli}, Lect. Notes Math. 1880, 183--233 (2006; Zbl 1188.82009) Full Text: DOI
Ji, Un Cig; Kim, Young Yi On a \(q\)-Fock space and its unitary decomposition. (English) Zbl 1191.81142 Bull. Korean Math. Soc. 43, No. 1, 53-62 (2006). MSC: 81S05 46L60 46N50 PDF BibTeX XML Cite \textit{U. C. Ji} and \textit{Y. Y. Kim}, Bull. Korean Math. Soc. 43, No. 1, 53--62 (2006; Zbl 1191.81142) Full Text: DOI Link
Duran, Antonio J.; Ismail, Mourad E. H. Differential coefficients of orthogonal matrix polynomials. (English) Zbl 1100.42017 J. Comput. Appl. Math. 190, No. 1-2, 424-436 (2006). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 33E30 39B42 PDF BibTeX XML Cite \textit{A. J. Duran} and \textit{M. E. H. Ismail}, J. Comput. Appl. Math. 190, No. 1--2, 424--436 (2006; Zbl 1100.42017) Full Text: DOI
Tashpulatov, S. M. One-magnon systems in an isotropic non-Heisenberg ferromagnetic impurity model. (English) Zbl 1178.82022 Theor. Math. Phys. 142, No. 1, 71-78 (2005); translation from Teor. Mat. Fiz. 142, No. 1, 83-92 (2005). MSC: 82B20 82D40 PDF BibTeX XML Cite \textit{S. M. Tashpulatov}, Theor. Math. Phys. 142, No. 1, 71--78 (2005; Zbl 1178.82022); translation from Teor. Mat. Fiz. 142, No. 1, 83--92 (2005) Full Text: DOI
Yodgorov, G. R.; Muminov, M. E. Spectrum of a model operator in the perturbation theory of the essential spectrum. (English) Zbl 1178.81074 Theor. Math. Phys. 144, No. 3, 1344-1352 (2005); translation from Teor. Mat. Fiz. 144, No. 3, 544-554 (2005). MSC: 81Q10 81Q15 47A55 PDF BibTeX XML Cite \textit{G. R. Yodgorov} and \textit{M. E. Muminov}, Theor. Math. Phys. 144, No. 3, 1344--1352 (2005; Zbl 1178.81074); translation from Teor. Mat. Fiz. 144, No. 3, 544--554 (2005) Full Text: DOI
Lundeen, J. S.; Resch, K. J. Practical measurement of joint weak values and their connection to the annihilation operator. (English) Zbl 1123.81318 Phys. Lett., A 334, No. 5-6, 337-344 (2005). MSC: 81P15 PDF BibTeX XML Cite \textit{J. S. Lundeen} and \textit{K. J. Resch}, Phys. Lett., A 334, No. 5--6, 337--344 (2005; Zbl 1123.81318) Full Text: DOI arXiv
Stochel, Jerzy A note on inductive limit model of Bargmann space of infinite order. (English) Zbl 1236.47027 Opusc. Math. 25, No. 1, 139-148 (2005). MSC: 47B38 47B37 47A80 46E20 PDF BibTeX XML Cite \textit{J. Stochel}, Opusc. Math. 25, No. 1, 139--148 (2005; Zbl 1236.47027)
Shvedov, O. Yu. On Fock spaces with linear constraints. (English. Russian original) Zbl 1083.81607 Math. Notes 78, No. 1, 140-145 (2005); translation from Mat. Zametki 78, No. 1, 151-156 (2005). MSC: 81V70 81S05 81Q05 81R15 PDF BibTeX XML Cite \textit{O. Yu. Shvedov}, Math. Notes 78, No. 1, 140--145 (2005; Zbl 1083.81607); translation from Mat. Zametki 78, No. 1, 151--156 (2005) Full Text: DOI
Şerbănescu, Cristina Fermion stochastic integrals of continuous processes. (English) Zbl 1086.60030 An. Univ. Bucur., Mat. 53, No. 2, 277-288 (2004). MSC: 60H05 60J60 PDF BibTeX XML Cite \textit{C. Şerbănescu}, An. Univ. Bucur., Mat. 53, No. 2, 277--288 (2004; Zbl 1086.60030)
Tesko, V. A. On spaces appearing in the construction of infinite-dimensional analysis according to the biorthogonal scheme. (Ukrainian, English) Zbl 1080.46028 Ukr. Mat. Zh. 56, No. 7, 977-990 (2004); translation in Ukr. Math. J. 56, No. 7, 1166-1181 (2004). Reviewer: A. N. Kochubei (Kyïv) MSC: 46F25 46F05 28C20 46G12 PDF BibTeX XML Cite \textit{V. A. Tesko}, Ukr. Mat. Zh. 56, No. 7, 977--990 (2004; Zbl 1080.46028); translation in Ukr. Math. J. 56, No. 7, 1166--1181 (2004) Full Text: DOI
Pisier, Gilles Completely bounded maps into certain Hilbertian operator spaces. (English) Zbl 1079.46041 Int. Math. Res. Not. 2004, No. 74, 3983-4018 (2004). Reviewer: Timur Oikhberg (Irvine) MSC: 46L07 46L35 47L25 47L50 PDF BibTeX XML Cite \textit{G. Pisier}, Int. Math. Res. Not. 2004, No. 74, 3983--4018 (2004; Zbl 1079.46041) Full Text: DOI arXiv
Sontz, Stephen Bruce Recent results and open problems in Segal-Bargmann analysis. (English) Zbl 1035.46044 Kuo, Hui-Hsiung (ed.) et al., Finite and infinite dimensional analysis in honor of Leonard Gross. Proceedings of the AMS special session on analysis on infinite dimensional spaces, New Orleans, LA, USA, January 12–13, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2889-4/pbk). Contemp. Math. 317, 203-213 (2003). Reviewer: J. V. Whittaker (Vancouver) MSC: 46N50 47N50 81S99 PDF BibTeX XML Cite \textit{S. B. Sontz}, Contemp. Math. 317, 203--213 (2003; Zbl 1035.46044)
Haghighat, M.; Dadkhah, A. Coherent state for a relativistic spinless particle. (English) Zbl 1031.81031 Phys. Lett., A 316, No. 5, 271-278 (2003). MSC: 81R30 81Q05 PDF BibTeX XML Cite \textit{M. Haghighat} and \textit{A. Dadkhah}, Phys. Lett., A 316, No. 5, 271--278 (2003; Zbl 1031.81031) Full Text: DOI arXiv
Prakash, Hari; Kumar, Pankaj Squeezing in superposed coherent states. (English) Zbl 1008.81530 Physica A 319, No. 1-4, 305-310 (2003). MSC: 81V80 81R30 PDF BibTeX XML Cite \textit{H. Prakash} and \textit{P. Kumar}, Physica A 319, No. 1--4, 305--310 (2003; Zbl 1008.81530) Full Text: DOI
Beckers, J.; Debergh, N. From non-Hermitian oscillator-like operators to Freud polynomials and some uences. (English) Zbl 1032.81008 Rocky Mt. J. Math. 32, No. 2, 499-506 (2002). MSC: 81Q10 81Q05 33C90 PDF BibTeX XML Cite \textit{J. Beckers} and \textit{N. Debergh}, Rocky Mt. J. Math. 32, No. 2, 499--506 (2002; Zbl 1032.81008) Full Text: DOI Link
Song, Tongqiang; Fan, Hongyi Phase properties of the nonlinear squeezed vacuum states. (English) Zbl 1039.81532 Phys. Lett., A 294, No. 2, 66-70 (2002). MSC: 81R30 PDF BibTeX XML Cite \textit{T. Song} and \textit{H. Fan}, Phys. Lett., A 294, No. 2, 66--70 (2002; Zbl 1039.81532) Full Text: DOI
Bagchi, B.; Quesne, C. Creation and annihilation operators and coherent states for the \(PT\)-symmetric oscillator. (English) Zbl 1138.81420 Mod. Phys. Lett. A 16, No. 38, 2449-2455 (2001). MSC: 81Q50 81R15 81R30 PDF BibTeX XML Cite \textit{B. Bagchi} and \textit{C. Quesne}, Mod. Phys. Lett. A 16, No. 38, 2449--2455 (2001; Zbl 1138.81420) Full Text: DOI arXiv
Szafraniec, Franciszek Hugon Duality in the quantum harmonic oscillator. (English) Zbl 1019.81012 J. Phys. A, Math. Gen. 34, No. 48, 10487-10492 (2001). MSC: 81Q10 81R15 PDF BibTeX XML Cite \textit{F. H. Szafraniec}, J. Phys. A, Math. Gen. 34, No. 48, 10487--10492 (2001; Zbl 1019.81012) Full Text: DOI
Hiroshima, Fumio Ground states and spectrum of quantum electrodynamics of nonrelativistic particles. (English) Zbl 0978.81022 Trans. Am. Math. Soc. 353, No. 11, 4497-4528 (2001). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q10 81V80 47B15 81V45 PDF BibTeX XML Cite \textit{F. Hiroshima}, Trans. Am. Math. Soc. 353, No. 11, 4497--4528 (2001; Zbl 0978.81022) Full Text: DOI
Barnett, C.; Voliotis, A. A conditional expectation for the full Fock space. (English) Zbl 0993.46037 J. Oper. Theory 44, No. 1, 3-23 (2000). MSC: 46L60 60B99 46N50 PDF BibTeX XML Cite \textit{C. Barnett} and \textit{A. Voliotis}, J. Oper. Theory 44, No. 1, 3--23 (2000; Zbl 0993.46037)
Maslov, V. P. A new representation of the Hamiltonian operator for bosons and fermions. Quantization of free energy and dependence of the Landau criterion on temperature. (English. Russian original) Zbl 1040.81012 Math. Notes 68, No. 6, 800-802 (2000); translation from Mat. Zametki 68, No. 6, 945-947 (2000). Reviewer: Miloslav Znojil (Řež) MSC: 81Q05 81V70 81S99 82B10 82B26 82D50 PDF BibTeX XML Cite \textit{V. P. Maslov}, Math. Notes 68, No. 6, 800--802 (2000; Zbl 1040.81012); translation from Mat. Zametki 68, No. 6, 945--947 (2000) Full Text: DOI
Wang, Ji-Suo; Liu, Tang-Kun; Zhan, Ming-Sheng Higher order squeezed states of anharmonic oscillators. (English) Zbl 0977.81188 Int. J. Theor. Phys. 39, No. 11, 2583-2593 (2000). MSC: 81V80 81Q05 81R30 PDF BibTeX XML Cite \textit{J.-S. Wang} et al., Int. J. Theor. Phys. 39, No. 11, 2583--2593 (2000; Zbl 0977.81188) Full Text: DOI
Klink, W. H. Discrete subgroups of the Poincaré group. (English) Zbl 1072.81536 Proceedings of the third international conference on symmetry in nonlinear mathematical physics, Kyiv, Ukraine, July 12–18, 1999. Part 2. Transl. from the Ukrainian. Kyiv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-1402-2/pt.2; 966-02-1444-8/set). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 30(2), 317-323 (2000). Reviewer: A. N. Kochubei (Kyïv) MSC: 81R20 22E70 PDF BibTeX XML Cite \textit{W. H. Klink}, in: Proceedings of the third international conference on symmetry in nonlinear mathematical physics, Kyiv, Ukraine, July 12--18, 1999. Part 2. Transl. from the Ukrainian. Kyiv: Institute of Mathematics of NAS of Ukraine. 317--323 (2000; Zbl 1072.81536)
Decarreau, Andrée; Emamirad, Hassan; Intissar, Abdelkader Chaoticity of Gribov’s operator in the Bargmann space. (Chaoticité de l’opérateur de Gribov dans l’espace de Bargmann.) (French. Abridged English version) Zbl 0966.37009 C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 9, 751-756 (2000). MSC: 37D45 37F10 47A99 47B99 PDF BibTeX XML Cite \textit{A. Decarreau} et al., C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 9, 751--756 (2000; Zbl 0966.37009) Full Text: DOI
Trifonov, Dimitar A. The uncertainty way of generalization of coherent states. (English) Zbl 1072.81538 Mladenov, I. M. (ed.) et al., Proceedings of the international conference on geometry, integrability and quantization, Varna, Bulgaria, September 1–10, 1999. Sofia: Coral Press Scientific Publishing (ISBN 954-90618-1-7/pbk). 257-282 (2000). Reviewer: Vladimir V. Kisil (Leeds) MSC: 81R30 PDF BibTeX XML Cite \textit{D. A. Trifonov}, in: Proceedings of the international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, September 1--10, 1999. Sofia: Coral Press Scientific Publishing. 257--282 (2000; Zbl 1072.81538) Full Text: arXiv
Quesne, C.; Vansteenkiste, N. \(C_ \lambda\)-extended oscillator algebras and some of their deformations and applications to quantum mechanics. (English) Zbl 1035.81516 Int. J. Theor. Phys. 39, No. 5, 1175-1215 (2000). MSC: 81R50 81Q60 81R15 PDF BibTeX XML Cite \textit{C. Quesne} and \textit{N. Vansteenkiste}, Int. J. Theor. Phys. 39, No. 5, 1175--1215 (2000; Zbl 1035.81516) Full Text: DOI arXiv
Liu, Xiao-Ming Orthonormalized eigenstates of the operator \((a_qf(N_q))^k\) \((k\geq 1)\) and their generation. (English) Zbl 1004.81021 J. Phys. A, Math. Gen. 33, No. 31, 5599-5606 (2000). MSC: 81R30 81R15 PDF BibTeX XML Cite \textit{X.-M. Liu}, J. Phys. A, Math. Gen. 33, No. 31, 5599--5606 (2000; Zbl 1004.81021) Full Text: DOI
Hecht, Karl T. Quantum mechanics. (English) Zbl 0964.81001 Graduate Texts in Contemporary Physics. New York, NY: Springer. xix, 760 p. (2000). Reviewer: V.Balan (Bucureşti) MSC: 81-01 81Q05 81R05 81U05 81V05 PDF BibTeX XML Cite \textit{K. T. Hecht}, Quantum mechanics. New York, NY: Springer (2000; Zbl 0964.81001)
Cipriani, Fabio; Fagnola, Franco; Lindsay, J. Martin Spectral analysis and Feller property for quantum Ornstein-Uhlenbeck semigroups. (English) Zbl 0961.47026 Commun. Math. Phys. 210, No. 1, 85-105 (2000). Reviewer: Michael Perelmuter (Kyïv) MSC: 47D07 81V80 PDF BibTeX XML Cite \textit{F. Cipriani} et al., Commun. Math. Phys. 210, No. 1, 85--105 (2000; Zbl 0961.47026) Full Text: DOI