Liang, Zhenguo; Zhao, Zhiyan; Zhou, Qi Almost reducibility and oscillatory growth of Sobolev norms. (English) Zbl 07781646 Adv. Math. 436, Article ID 109417, 54 p. (2024). MSC: 35Q40 35Q41 37C60 47G30 PDFBibTeX XMLCite \textit{Z. Liang} et al., Adv. Math. 436, Article ID 109417, 54 p. (2024; Zbl 07781646) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Séré, Éric Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac-Coulomb operators. (English) Zbl 07761493 J. Spectr. Theory 13, No. 2, 491-524 (2023). MSC: 47B25 47A75 49R50 81Q10 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., J. Spectr. Theory 13, No. 2, 491--524 (2023; Zbl 07761493) Full Text: DOI arXiv
Bagarello, F. Uncertainty relation for non-Hermitian operators. (English) Zbl 07753591 J. Phys. A, Math. Theor. 56, No. 42, Article ID 425201, 17 p. (2023). MSC: 81S07 81Q12 35B06 37K20 15A63 47B25 PDFBibTeX XMLCite \textit{F. Bagarello}, J. Phys. A, Math. Theor. 56, No. 42, Article ID 425201, 17 p. (2023; Zbl 07753591) Full Text: DOI arXiv OA License
Fernández, Francisco M. Algebraic analysis of non-Hermitian quadratic Hamiltonians. (English) Zbl 07749140 Ann. Phys. 457, Article ID 169429, 7 p. (2023). MSC: 81Q12 70H05 35P15 70H15 22E70 PDFBibTeX XMLCite \textit{F. M. Fernández}, Ann. Phys. 457, Article ID 169429, 7 p. (2023; Zbl 07749140) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Song, Myung-Sin; Tian, James Infinite-dimensional stochastic transforms and reproducing kernel Hilbert space. (English) Zbl 07739023 Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 12, 27 p. (2023). MSC: 47B32 41A15 41A65 42A82 42C15 46E22 47A05 47N10 60G15 62H25 68T07 81S05 90C20 94A08 94A12 94A20 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 12, 27 p. (2023; Zbl 07739023) Full Text: DOI arXiv
Znojil, Miloslav Zig-zag-matrix algebras and solvable quasi-Hermitian quantum models. (English) Zbl 07722239 J. Phys. A, Math. Theor. 56, No. 33, Article ID 335301, 10 p. (2023). MSC: 81Q12 51F25 81Q80 33E10 15A63 47B25 PDFBibTeX XMLCite \textit{M. Znojil}, J. Phys. A, Math. Theor. 56, No. 33, Article ID 335301, 10 p. (2023; Zbl 07722239) Full Text: DOI arXiv
White, Francis \( L^p\)-bounds for semigroups generated by non-elliptic quadratic differential operators. (English) Zbl 07722572 J. Spectr. Theory 12, No. 4, 1295-1315 (2022). MSC: 47D06 35Q40 35S30 47D08 PDFBibTeX XMLCite \textit{F. White}, J. Spectr. Theory 12, No. 4, 1295--1315 (2022; Zbl 07722572) Full Text: DOI arXiv
Vladimirov, Igor G.; Petersen, Ian R. Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems. (English) Zbl 1518.81071 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 25, No. 4, Article ID 2240007, 40 p. (2022). MSC: 81S22 81S25 81P16 81R15 47B35 47L80 15B05 93E15 37L40 60G15 93B51 PDFBibTeX XMLCite \textit{I. G. Vladimirov} and \textit{I. R. Petersen}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 25, No. 4, Article ID 2240007, 40 p. (2022; Zbl 1518.81071) Full Text: DOI arXiv
Nosal, Iu. A.; Teretenkov, A. E. Higher order moments dynamics for some multimode quantum master equations. (English) Zbl 1515.81162 Lobachevskii J. Math. 43, No. 7, 1726-1739 (2022). MSC: 81S22 81Q12 60G55 PDFBibTeX XMLCite \textit{Iu. A. Nosal} and \textit{A. E. Teretenkov}, Lobachevskii J. Math. 43, No. 7, 1726--1739 (2022; Zbl 1515.81162) Full Text: DOI arXiv
Song, Yisheng; Li, Xudong Copositivity for a class of fourth-order symmetric tensors given by scalar dark matter. (English) Zbl 1502.90121 J. Optim. Theory Appl. 195, No. 1, 334-346 (2022). MSC: 90C23 15A63 81T32 70S20 15A72 47H09 15B48 47H07 PDFBibTeX XMLCite \textit{Y. Song} and \textit{X. Li}, J. Optim. Theory Appl. 195, No. 1, 334--346 (2022; Zbl 1502.90121) Full Text: DOI arXiv
Wahlberg, Patrik Semigroups for quadratic evolution equations acting on Shubin-Sobolev and Gelfand-Shilov spaces. (English) Zbl 1509.47068 Ann. Fenn. Math. 47, No. 2, 821-853 (2022). MSC: 47D06 35S16 35Q40 42B35 46E35 46F05 PDFBibTeX XMLCite \textit{P. Wahlberg}, Ann. Fenn. Math. 47, No. 2, 821--853 (2022; Zbl 1509.47068) Full Text: DOI arXiv
Liu, Jiarui; Song, Yisheng Copositivity for 3rd-order symmetric tensors and applications. (English) Zbl 1483.90107 Bull. Malays. Math. Sci. Soc. (2) 45, No. 1, 133-152 (2022). MSC: 90C23 15A63 81T32 70S20 15A72 47H09 47H07 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Y. Song}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 1, 133--152 (2022; Zbl 1483.90107) Full Text: DOI arXiv
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R. Quadratic-exponential functionals of Gaussian quantum processes. (English) Zbl 1486.81143 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 24, No. 4, Article ID 2150024, 40 p. (2021). MSC: 81S22 81S25 81P16 81S05 81R15 47B35 81Q10 37L40 60G15 81Q93 93B35 94A17 PDFBibTeX XMLCite \textit{I. G. Vladimirov} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 24, No. 4, Article ID 2150024, 40 p. (2021; Zbl 1486.81143) Full Text: DOI arXiv
Michelangeli, Alessandro Models of zero-range interaction for the bosonic trimer at unitarity. (English) Zbl 1499.81047 Rev. Math. Phys. 33, No. 4, Article ID 2150010, 101 p. (2021). MSC: 81Q10 45H05 46F10 46N20 46N50 47B25 47F10 47N50 70F07 81U10 PDFBibTeX XMLCite \textit{A. Michelangeli}, Rev. Math. Phys. 33, No. 4, Article ID 2150010, 101 p. (2021; Zbl 1499.81047) Full Text: DOI arXiv
Mukhamedov, Farrukh; Syam, Sondos M.; Almazrouei, Shamma A. Y. Few remarks on quasi quantum quadratic operators on \(\mathbb{M}_2(\mathbb{C})\). (English) Zbl 1453.81028 Open Syst. Inf. Dyn. 27, No. 2, Article ID 2050006, 20 p. (2020). MSC: 81Q10 81P40 46L55 47B48 47B25 PDFBibTeX XMLCite \textit{F. Mukhamedov} et al., Open Syst. Inf. Dyn. 27, No. 2, Article ID 2050006, 20 p. (2020; Zbl 1453.81028) Full Text: DOI
Migaeva, A. S.; Pereskokov, A. V. Semiclassical asymptotics of the spectrum of the hydrogen atom in an electromagnetic field near the upper boundaries of spectral clusters. (English. Russian original) Zbl 1453.81063 J. Math. Sci., New York 251, No. 6, 850-875 (2020); translation from Probl. Mat. Anal. 107, 69-90 (2020). MSC: 81V45 78A30 81S05 81Q15 35P20 35B34 PDFBibTeX XMLCite \textit{A. S. Migaeva} and \textit{A. V. Pereskokov}, J. Math. Sci., New York 251, No. 6, 850--875 (2020; Zbl 1453.81063); translation from Probl. Mat. Anal. 107, 69--90 (2020) Full Text: DOI
Fernández, Francisco M. Algebraic treatment of non-Hermitian quadratic Hamiltonians. (English) Zbl 1448.81323 J. Math. Chem. 58, No. 9, 2094-2107 (2020). MSC: 81Q12 81R15 47A05 81R05 22E70 15A18 PDFBibTeX XMLCite \textit{F. M. Fernández}, J. Math. Chem. 58, No. 9, 2094--2107 (2020; Zbl 1448.81323) Full Text: DOI arXiv
Hardy, Yorick; Steeb, Willi-Hans; Kemp, Garreth Matrices and their (un)faithful Fermi-quadratic forms. (English) Zbl 1422.81026 Int. J. Theor. Phys. 58, No. 5, 1470-1481 (2019). MSC: 81P16 46L07 81S05 15A63 PDFBibTeX XMLCite \textit{Y. Hardy} et al., Int. J. Theor. Phys. 58, No. 5, 1470--1481 (2019; Zbl 1422.81026) Full Text: DOI arXiv
Medini, Zied Discrete magnetic bottles on quasi-linear graphs. (English) Zbl 1479.05210 Complex Anal. Oper. Theory 13, No. 3, 1401-1417 (2019). MSC: 05C50 05C63 35J10 81Q35 34L40 PDFBibTeX XMLCite \textit{Z. Medini}, Complex Anal. Oper. Theory 13, No. 3, 1401--1417 (2019; Zbl 1479.05210) Full Text: DOI
Gregorio, Federica; Kerner, Joachim On Lennard-Jones-type potentials on the half-line. (English) Zbl 07005664 Arch. Math. 112, No. 1, 101-111 (2019). MSC: 47A10 47A40 47A15 81V99 PDFBibTeX XMLCite \textit{F. Gregorio} and \textit{J. Kerner}, Arch. Math. 112, No. 1, 101--111 (2019; Zbl 07005664) Full Text: DOI arXiv
Boyko, Olga; Martynyuk, Olga; Pivovarchik, Vyacheslav On spectra of quadratic operator pencils with rank one gyroscopic linear part. (English) Zbl 06963041 Opusc. Math. 38, No. 4, 483-500 (2018). MSC: 47A56 47E05 81Q10 PDFBibTeX XMLCite \textit{O. Boyko} et al., Opusc. Math. 38, No. 4, 483--500 (2018; Zbl 06963041) Full Text: DOI arXiv
Huang, J.; Liu, J.; Chen, A. Symmetry of the quadratic numerical range and spectral inclusion properties of Hamiltonian operator matrices. (English) Zbl 1500.47061 Math. Notes 103, No. 6, 1007-1013 (2018). MSC: 47B93 47A08 47A12 81Q10 PDFBibTeX XMLCite \textit{J. Huang} et al., Math. Notes 103, No. 6, 1007--1013 (2018; Zbl 1500.47061) Full Text: DOI
Mukhamedov, Farrukh Quasi quantum quadratic operators of \(\mathbb{M}_2(\mathbb{C})\). (English) Zbl 1378.47006 Accardi, Luigi (ed.) et al., White noise analysis and quantum information. Based on the workshop on infinite dimensional analysis and quantum probability and their applications (IDAQP), Institute for Mathematical Sciences, National University of Singapore, Singapore, March 3–7, 2014. Hackensack, NJ: World Scientific (ISBN 978-981-3225-45-9/hbk; 978-981-3225-47-3/ebook). Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 34, 175-190 (2018). MSC: 47H40 81P50 PDFBibTeX XMLCite \textit{F. Mukhamedov}, Lect. Notes Ser., Inst. Math. Sci., Natl. Univ. Singap. 34, 175--190 (2018; Zbl 1378.47006) Full Text: DOI
Jerome, Joseph W. Convergent iteration in Sobolev space for time dependent closed quantum systems. (English) Zbl 1491.81012 Nonlinear Anal., Real World Appl. 40, 130-147 (2018). MSC: 81-08 81V99 PDFBibTeX XMLCite \textit{J. W. Jerome}, Nonlinear Anal., Real World Appl. 40, 130--147 (2018; Zbl 1491.81012) Full Text: DOI arXiv
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio Semi-classical time-frequency analysis and applications. (English) Zbl 1413.42046 Math. Phys. Anal. Geom. 20, No. 4, Paper No. 26, 23 p. (2017). MSC: 42B35 42C15 47G30 81Q20 PDFBibTeX XMLCite \textit{E. Cordero} et al., Math. Phys. Anal. Geom. 20, No. 4, Paper No. 26, 23 p. (2017; Zbl 1413.42046) Full Text: DOI arXiv
El Aïdi, Mohammed On the infimum of the spectrum of a relativistic Schrödinger operator. (English) Zbl 1364.35214 Forum Math. 29, No. 3, 575-579 (2017). MSC: 35P15 34L15 34L05 81Q10 47A07 47A40 PDFBibTeX XMLCite \textit{M. El Aïdi}, Forum Math. 29, No. 3, 575--579 (2017; Zbl 1364.35214) Full Text: DOI
Mukhamedov, Farrukh On circle preserving quadratic operators. (English) Zbl 1370.46044 Bull. Malays. Math. Sci. Soc. (2) 40, No. 2, 765-782 (2017). Reviewer: Maryam Amyari (Mashhad) MSC: 46L55 47B48 PDFBibTeX XMLCite \textit{F. Mukhamedov}, Bull. Malays. Math. Sci. Soc. (2) 40, No. 2, 765--782 (2017; Zbl 1370.46044) Full Text: DOI
Bach, Volker; Bru, Jean-Bernard Diagonalizing quadratic bosonic operators by non-autonomous flow equation. (English) Zbl 1435.81003 Memoirs of the American Mathematical Society 1138. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1705-5/print; 978-1-4704-2828-0/ebook). vi, 126 p. (2016). MSC: 81-02 81Q12 35K90 47J35 PDFBibTeX XMLCite \textit{V. Bach} and \textit{J.-B. Bru}, Diagonalizing quadratic bosonic operators by non-autonomous flow equation. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1435.81003) Full Text: DOI arXiv Link
Rebei, Habib On the one-mode quadratic Weyl operators. (English) Zbl 1375.60114 J. Math. Anal. Appl. 439, No. 1, 135-153 (2016). Reviewer: Michael Skeide (Campobasso) MSC: 60H40 60G51 16T10 81S25 PDFBibTeX XMLCite \textit{H. Rebei}, J. Math. Anal. Appl. 439, No. 1, 135--153 (2016; Zbl 1375.60114) Full Text: DOI
Eyvazov, Elshad H. Quality properties of solutions of the basic equation of perturbation theory for one-dimensional magnetic Schrödinger operator. (English) Zbl 1513.34354 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 35, No. 1, Math. Mech., 16-23 (2015). MSC: 34L40 35J10 47A55 81Q10 PDFBibTeX XMLCite \textit{E. H. Eyvazov}, Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 35, No. 1, Math. Mech., 16--23 (2015; Zbl 1513.34354) Full Text: Link
Ibort, A.; Pérez-Pardo, J. M. On the theory of self-adjoint extensions of symmetric operators and its applications to quantum physics. (English) Zbl 1327.81199 Int. J. Geom. Methods Mod. Phys. 12, No. 6, Article ID 1560005, 41 p. (2015). MSC: 81Q10 81Q35 81Q93 58A10 58C35 58C40 58J32 58J50 58J70 53C21 53C55 53C80 46C05 46N50 35Q40 35Q41 PDFBibTeX XMLCite \textit{A. Ibort} and \textit{J. M. Pérez-Pardo}, Int. J. Geom. Methods Mod. Phys. 12, No. 6, Article ID 1560005, 41 p. (2015; Zbl 1327.81199) Full Text: DOI arXiv
Mukhamedov, Farrukh; Ganikhodjaev, Nasir Quantum quadratic operators and processes. (English) Zbl 1335.60002 Lecture Notes in Mathematics 2133. Cham: Springer (ISBN 978-3-319-22836-5/pbk; 978-3-319-22837-2/ebook). xiv, 231 p. (2015). Reviewer: Hasan Akin (Gaziantep) MSC: 60-02 60J25 81Q80 37A50 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{N. Ganikhodjaev}, Quantum quadratic operators and processes. Cham: Springer (2015; Zbl 1335.60002) Full Text: DOI
Hoque, Md Fazlul; Marquette, Ian; Zhang, Yao-Zhong Quadratic algebra structure and spectrum of a new superintegrable system in \(N\)-dimension. (English) Zbl 1314.81072 J. Phys. A, Math. Theor. 48, No. 18, Article ID 185201, 16 p. (2015). MSC: 81Q05 47A75 81R12 PDFBibTeX XMLCite \textit{M. F. Hoque} et al., J. Phys. A, Math. Theor. 48, No. 18, Article ID 185201, 16 p. (2015; Zbl 1314.81072) Full Text: DOI arXiv
Anzaldo-Meneses, A. On non-autonomous dynamical systems. (English) Zbl 1333.37069 J. Math. Phys. 56, No. 4, 042702, 20 p. (2015). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J05 37J15 37J25 58A20 37N20 34L25 81U05 PDFBibTeX XMLCite \textit{A. Anzaldo-Meneses}, J. Math. Phys. 56, No. 4, 042702, 20 p. (2015; Zbl 1333.37069) Full Text: DOI
Mikhailov, Andrei Pure spinors in AdS and Lie algebra cohomology. (English) Zbl 1303.83042 Lett. Math. Phys. 104, No. 10, 1201-1233 (2014). MSC: 83E50 17B55 16S37 83C60 81T40 PDFBibTeX XMLCite \textit{A. Mikhailov}, Lett. Math. Phys. 104, No. 10, 1201--1233 (2014; Zbl 1303.83042) Full Text: DOI arXiv
Anguelova, Iana I.; Bergvelt, Maarten J. Quadratic differential operators, bicharacters and \(\bullet\) products. (English) Zbl 1326.16024 Commun. Algebra 42, No. 1, 389-416 (2014). MSC: 16T05 17B69 81R50 PDFBibTeX XMLCite \textit{I. I. Anguelova} and \textit{M. J. Bergvelt}, Commun. Algebra 42, No. 1, 389--416 (2014; Zbl 1326.16024) Full Text: DOI arXiv
Koshmanenko, V. D.; Dudkin, M. E. Method of equipped spaces in the theory of singular perturbations of self-adjoint operators. (Метод оснащених просторів у теорії сингулярних збурень самоспряжених операторів.) (Ukrainian) Zbl 1324.47001 Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta ïï Zastosuvannya 96. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 978-966-02-6847-0). 320 p. (2013). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 47-02 47A55 47A70 47B25 46C05 81Q10 34L40 PDFBibTeX XMLCite \textit{V. D. Koshmanenko} and \textit{M. E. Dudkin}, Метод оснащених просторів у теорії сингулярних збурень самоспряжених операторів (Ukrainian). Kyïv: Instytut Matematyky NAN Ukraïny (2013; Zbl 1324.47001)
Vladimirov, Igor G.; Petersen, Ian R. A quasi-separation principle and Newton-like scheme for coherent quantum LQG control. (English) Zbl 1277.49045 Syst. Control Lett. 62, No. 7, 550-559 (2013). MSC: 49N10 81Q93 49M15 PDFBibTeX XMLCite \textit{I. G. Vladimirov} and \textit{I. R. Petersen}, Syst. Control Lett. 62, No. 7, 550--559 (2013; Zbl 1277.49045) Full Text: DOI arXiv
Mukhamedov, Farrukh; Abduganiev, Abduaziz On Kadison-Schwarz type quantum quadratic operators on \(\mathbb M_2(\mathbb C)\). (English) Zbl 1276.81056 Abstr. Appl. Anal. 2013, Article ID 278606, 9 p. (2013). Reviewer: T. C. Mohan (Chennai) MSC: 81Q05 44A35 47H30 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{A. Abduganiev}, Abstr. Appl. Anal. 2013, Article ID 278606, 9 p. (2013; Zbl 1276.81056) Full Text: DOI arXiv
Kirillov, Anatol N. On some algebraic and combinatorial properties of Dunkl elements. (English) Zbl 1260.13030 Int. J. Mod. Phys. B 26, No. 27-28, Article ID 1243012, 28 p. (2012). MSC: 13F20 14M15 16S37 14N35 PDFBibTeX XMLCite \textit{A. N. Kirillov}, Int. J. Mod. Phys. B 26, No. 27--28, Article ID 1243012, 28 p. (2012; Zbl 1260.13030) Full Text: DOI
Caliceti, Emanuela; Graffi, Sandro; Hitrik, Michael; Sjöstrand, Johannes Quadratic \(\mathcal{PT}\)-symmetric operators with real spectrum and similarity to self-adjoint operators. (English) Zbl 1263.81190 J. Phys. A, Math. Theor. 45, No. 44, Article ID 444007, 20 p. (2012). MSC: 81Q12 47A10 15A63 35P05 53D22 81R05 PDFBibTeX XMLCite \textit{E. Caliceti} et al., J. Phys. A, Math. Theor. 45, No. 44, Article ID 444007, 20 p. (2012; Zbl 1263.81190) Full Text: DOI arXiv
Pulmannová, Sylvia A note on ideals in synaptic algebras. (English) Zbl 1274.06063 Math. Slovaca 62, No. 6, 1091-1104 (2012). Reviewer: Anatolij Dvurečenskij (Bratislava) MSC: 06F25 06C15 47B15 47L30 81P10 PDFBibTeX XMLCite \textit{S. Pulmannová}, Math. Slovaca 62, No. 6, 1091--1104 (2012; Zbl 1274.06063) Full Text: DOI
Giachetti, Riccardo Spectral properties of the Dirac equation in unbounded vector potentials. (English) Zbl 1246.65133 Appl. Numer. Math. 62, No. 9, 1119-1125 (2012). MSC: 65L15 34L16 81Q05 PDFBibTeX XMLCite \textit{R. Giachetti}, Appl. Numer. Math. 62, No. 9, 1119--1125 (2012; Zbl 1246.65133) Full Text: DOI
Mukhamedov, Farrukh; Abduganiev, Abduaziz On kadison-Schwarz property of quantum quadratic operators on \(\mathbb{M}_2 (\mathbb{C})\). (English) Zbl 1241.81067 Accardi, Luigi (ed.) et al., Quantum bio-informatics IV. From quantum information to bio-informatics, Tokyo, Japan, March 10–13, 2010. Selected papers based on the presentations at the international conference. Hackensack, NJ: World Scientific (ISBN 978-981-4343-75-6/hbk; 978-981-4343-76-3/ebook). QP-PQ: Quantum Probability and White Noise Analysis 28, 255-265 (2011). MSC: 81Q05 81R15 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{A. Abduganiev}, in: Quantum bio-informatics IV. From quantum information to bio-informatics, Tokyo, Japan, March 10--13, 2010. Selected papers based on the presentations at the international conference. Hackensack, NJ: World Scientific. 255--265 (2011; Zbl 1241.81067) Full Text: Link
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir Quadratic stochastic operators and processes: results and open problems. (English) Zbl 1242.60067 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 14, No. 2, 279-335 (2011). Reviewer: Nicolas Privault (Singapore) MSC: 60H25 60G07 37N25 46L53 60J28 PDFBibTeX XMLCite \textit{R. Ganikhodzhaev} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 14, No. 2, 279--335 (2011; Zbl 1242.60067) Full Text: DOI
Mukhamedov, Farrukh; Akın, Hasan; Temir, Seyit; Abduganiev, Abduaziz On quantum quadratic operators of \(\mathbb M_2(\mathbb C)\) and their dynamics. (English) Zbl 1210.47081 J. Math. Anal. Appl. 376, No. 2, 641-655 (2011). Reviewer: Dian K. Palagachev (Bari) MSC: 47H60 46L30 81R15 15A99 46L60 PDFBibTeX XMLCite \textit{F. Mukhamedov} et al., J. Math. Anal. Appl. 376, No. 2, 641--655 (2011; Zbl 1210.47081) Full Text: DOI arXiv
Milanov, Todor E.; Tseng, Hsian-Hua Equivariant orbifold structures on the projective line and integrable hierarchies. (English) Zbl 1222.14121 Adv. Math. 226, No. 1, 641-672 (2011). MSC: 14N35 17B69 32S30 PDFBibTeX XMLCite \textit{T. E. Milanov} and \textit{H.-H. Tseng}, Adv. Math. 226, No. 1, 641--672 (2011; Zbl 1222.14121) Full Text: DOI arXiv
Boulton, Lyonell; Boussaid, Nabile Non-variational computation of the eigenstates of Dirac operators with radially symmetric potentials. (English) Zbl 1227.65105 LMS J. Comput. Math. 13, 10-32 (2010). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65N25 35P15 35Q41 47F05 81Q05 PDFBibTeX XMLCite \textit{L. Boulton} and \textit{N. Boussaid}, LMS J. Comput. Math. 13, 10--32 (2010; Zbl 1227.65105) Full Text: DOI arXiv
Mukhamedov, Farrukh On marginal Markov processes of quantum quadratic stochastic processes. (English) Zbl 1213.81162 Ouerdiane, Habib (ed.) et al., Quantum probability and infinite dimensional analysis. Proceedings of the 29th conference, Hammamet, Tunisia, October 13–18, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4295-42-0/hbk; 978-981-4295-43-7/ebook). QP-PQ: Quantum Probability and White Noise Analysis 25, 203-215 (2010). Reviewer: Adam Skalski (Warszawa) MSC: 81S25 46L55 46L53 47A35 PDFBibTeX XMLCite \textit{F. Mukhamedov}, in: Quantum probability and infinite dimensional analysis. Proceedings of the 29th conference, Hammamet, Tunisia, October 13--18, 2008. Hackensack, NJ: World Scientific. 203--215 (2010; Zbl 1213.81162) Full Text: arXiv
Brown, K. A.; Changtong, K. Symplectic reflection algebras in positive characteristic. (English) Zbl 1211.16020 Proc. Edinb. Math. Soc., II. Ser. 53, No. 1, 61-81 (2010). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S38 16S37 17B37 16E65 16P60 16S32 16G30 PDFBibTeX XMLCite \textit{K. A. Brown} and \textit{K. Changtong}, Proc. Edinb. Math. Soc., II. Ser. 53, No. 1, 61--81 (2010; Zbl 1211.16020) Full Text: DOI arXiv
Milanov, Todor E.; Tseng, Hsian-Hua The spaces of Laurent polynomials, Gromov-Witten theory of \(\mathbb P^1\)-orbifolds, and integrable hierarchies. (English) Zbl 1146.53068 J. Reine Angew. Math. 622, 189-235 (2008). MSC: 53D45 37K10 PDFBibTeX XMLCite \textit{T. E. Milanov} and \textit{H.-H. Tseng}, J. Reine Angew. Math. 622, 189--235 (2008; Zbl 1146.53068) Full Text: DOI arXiv
Milanov, Todor E. The equivariant Gromov-Witten theory of \(\mathbb {C}P^1\) and integrable hierarchies. (English) Zbl 1146.53067 Int. Math. Res. Not. 2008, Article ID rnn073, 21 p. (2008). MSC: 53D45 14N35 37K10 PDFBibTeX XMLCite \textit{T. E. Milanov}, Int. Math. Res. Not. 2008, Article ID rnn073, 21 p. (2008; Zbl 1146.53067) Full Text: DOI arXiv
Sadun, Lorenzo Applied linear algebra. The decoupling principle. 2nd ed. (English) Zbl 1140.15001 Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4441-0/hbk). xviii, 371 p. (2008). Reviewer: Adhemar Bultheel (Leuven) MSC: 15-01 15A18 65F15 35P05 47A75 47B40 34B27 46F10 26A42 35K90 35B35 60J10 60G50 15A63 15B57 PDFBibTeX XMLCite \textit{L. Sadun}, Applied linear algebra. The decoupling principle. 2nd ed. Providence, RI: American Mathematical Society (AMS) (2008; Zbl 1140.15001)
Silvestrov, Sergei Paradigm of quasi-Lie and quasi-Hom-Lie algebras and quasi-deformations. (English) Zbl 1138.17301 Caenepeel, Stefaan (ed.) et al., New techniques in Hopf algebras and graded ring theory. Selected papers of the congress, Brussels, Belgium, September 19–23, 2006. Brussel: Koninklijke Vlaamse Academie van Belgie voor Wetenschappen en Kunsten. Contactforum, 165-177 (2007). MSC: 17A30 17A45 17A36 17B75 17B37 17B68 17B66 PDFBibTeX XMLCite \textit{S. Silvestrov}, in: New techniques in Hopf algebras and graded ring theory. Selected papers of the congress, Brussels, Belgium, September 19--23, 2006. Brussel: Koninklijke Vlaamse Academie van Belgie voor Wetenschappen en Kunsten. 165--177 (2007; Zbl 1138.17301)
Barhoumi, A.; Ouerdiane, H. Quantum Lévy-type Laplacian and associated stochastic differential equations. (English) Zbl 1105.60049 Bożejko, Marek (ed.) et al., Quantum probability. Papers presented at the 25th QP conference on quantum probability and related topics, Będlewo, Poland, June 20–26, 2004. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 73, 81-97 (2006). MSC: 60H40 46A32 46F25 46G20 PDFBibTeX XMLCite \textit{A. Barhoumi} and \textit{H. Ouerdiane}, Banach Cent. Publ. 73, 81--97 (2006; Zbl 1105.60049) Full Text: Link
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 PDFBibTeX XMLCite \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
Bruneau, Laurent; Dereziński, Jan Pauli-Fierz Hamiltonians defined as quadratic forms. (English) Zbl 1161.81358 Rep. Math. Phys. 54, No. 2, 169-199 (2004). MSC: 81Q10 47N50 47B25 PDFBibTeX XMLCite \textit{L. Bruneau} and \textit{J. Dereziński}, Rep. Math. Phys. 54, No. 2, 169--199 (2004; Zbl 1161.81358) Full Text: DOI
Albeverio, S.; Koshmanenko, V.; Kuzhel, S. On a variant of abstract scattering theory in terms of quadratic forms. (English) Zbl 1069.47010 Rep. Math. Phys. 54, No. 3, 309-325 (2004). Reviewer: Ricardo Weder (México City) MSC: 47A40 81U40 35P25 47A55 47N50 81U05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Rep. Math. Phys. 54, No. 3, 309--325 (2004; Zbl 1069.47010) Full Text: DOI
Sait-Ametov, M. R. Properties of 2-adic Green functions. (English) Zbl 1098.81058 Methods Funct. Anal. Topol. 10, No. 2, 69-85 (2004). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 81T08 11S85 35S99 PDFBibTeX XMLCite \textit{M. R. Sait-Ametov}, Methods Funct. Anal. Topol. 10, No. 2, 69--85 (2004; Zbl 1098.81058)
Nielsen, Erik Bjerrum; Rask, Ole Exponentiability of quadratic Hamiltonians. (English) Zbl 1049.81038 Rep. Math. Phys. 52, No. 2, 177-186 (2003). MSC: 81S05 81R10 47N50 81V70 PDFBibTeX XMLCite \textit{E. B. Nielsen} and \textit{O. Rask}, Rep. Math. Phys. 52, No. 2, 177--186 (2003; Zbl 1049.81038) Full Text: DOI
Bodmann, Bernhard G. Construction of self-adjoint Berezin-Toeplitz operators on Kähler manifolds and a probabilistic representation of the associated semigroups. (English) Zbl 1029.81044 J. Geom. Phys. 47, No. 2-3, 128-160 (2003). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 81S25 58D30 81S10 58J90 47B35 47D08 47N50 53D50 60J65 PDFBibTeX XMLCite \textit{B. G. Bodmann}, J. Geom. Phys. 47, No. 2--3, 128--160 (2003; Zbl 1029.81044) Full Text: DOI arXiv
Nieto, L. M.; Pecheritsin, A. A.; Samsonov, Boris F. Intertwining technique for the one-dimensional stationary Dirac equation. (English) Zbl 1028.81011 Ann. Phys. 305, No. 2, 151-189 (2003). Reviewer: Wojtek Slowikowski (Aarhus) MSC: 81Q05 81Q60 81Q10 PDFBibTeX XMLCite \textit{L. M. Nieto} et al., Ann. Phys. 305, No. 2, 151--189 (2003; Zbl 1028.81011) Full Text: DOI arXiv
Calabrese, Pasquale; Pelissetto, Andrea; Vicari, Ettore Critical structure factors of bilinear fields in \(\mathrm{O}(N)\) vector models. (English) Zbl 1244.82020 Phys. Rev. E (3) 65, No. 4, Article ID 046115, 16 p. (2002). MSC: 82B27 82B21 81T10 PDFBibTeX XMLCite \textit{P. Calabrese} et al., Phys. Rev. E (3) 65, No. 4, Article ID 046115, 16 p. (2002; Zbl 1244.82020) Full Text: DOI arXiv
Brasche, J.; Nizhnik, L. A generalized sum of quadratic forms. (English) Zbl 1074.47503 Methods Funct. Anal. Topol. 8, No. 3, 13-19 (2002). Reviewer: A. N. Kochubei (Kyïv) MSC: 47A55 47B25 34L40 47F05 81Q15 PDFBibTeX XMLCite \textit{J. Brasche} and \textit{L. Nizhnik}, Methods Funct. Anal. Topol. 8, No. 3, 13--19 (2002; Zbl 1074.47503)
Mukhamedov, F. M. Ergodic properties of quadratic discrete dynamical systems on \(C^*\)-algebras. (English) Zbl 0972.37007 Methods Funct. Anal. Topol. 7, No. 1, 63-75 (2001). Reviewer: A.N.Kochubei (Kyïv) MSC: 37A55 47A35 46L55 PDFBibTeX XMLCite \textit{F. M. Mukhamedov}, Methods Funct. Anal. Topol. 7, No. 1, 63--75 (2001; Zbl 0972.37007)
Hai, Phung Ho On matrix quantum groups of type \(A_n\). (English) Zbl 0984.16036 Int. J. Math. 11, No. 9, 1115-1146 (2000). Reviewer: Sonia Natale (Cordoba) MSC: 16W30 16D90 17A45 17A70 17B37 PDFBibTeX XMLCite \textit{P. H. Hai}, Int. J. Math. 11, No. 9, 1115--1146 (2000; Zbl 0984.16036) Full Text: DOI arXiv
Masáková, Zuzana; Patera, Jiří; Pelantová, Edita Substitution rules for aperiodic sequences of the cut and project type. (English) Zbl 0978.11006 J. Phys. A, Math. Gen. 33, No. 48, 8867-8886 (2000). MSC: 11B85 37B10 37N20 82B44 52C23 82D25 PDFBibTeX XMLCite \textit{Z. Masáková} et al., J. Phys. A, Math. Gen. 33, No. 48, 8867--8886 (2000; Zbl 0978.11006) Full Text: DOI
Mukhamedov, F. M. On the Blum-Hanson theorem for quantum quadratic processes. (English. Russian original) Zbl 0966.46047 Math. Notes 67, No. 1, 81-86 (2000); translation from Mat. Zametki 67, No. 1, 102-109 (2000). MSC: 46L60 81S25 47A35 PDFBibTeX XMLCite \textit{F. M. Mukhamedov}, Math. Notes 67, No. 1, 81--86 (2000; Zbl 0966.46047); translation from Mat. Zametki 67, No. 1, 102--109 (2000) Full Text: DOI
Mandelzweig, V. B. Quasilinearization method and its verification on exactly solvable models in quantum mechanics. (English) Zbl 0969.81007 J. Math. Phys. 40, No. 12, 6266-6291 (1999). MSC: 81Q05 81Q15 81-08 34A34 PDFBibTeX XMLCite \textit{V. B. Mandelzweig}, J. Math. Phys. 40, No. 12, 6266--6291 (1999; Zbl 0969.81007) Full Text: DOI
Kupershmidt, Boris A. What a classical \(r\)-matrix really is. (English) Zbl 1015.17015 J. Nonlinear Math. Phys. 6, No. 4, 448-488 (1999). MSC: 17B37 53D17 37J35 37-02 17B63 PDFBibTeX XMLCite \textit{B. A. Kupershmidt}, J. Nonlinear Math. Phys. 6, No. 4, 448--488 (1999; Zbl 1015.17015) Full Text: DOI arXiv
Kundu, A. Construction of a new class of quantum integrable inhomogeneous models. (English. Russian original) Zbl 0957.82012 Theor. Math. Phys. 118, No. 3, 333-340 (1999); translation from Teor. Mat. Fiz. 118, No. 3, 423-433 (1999). MSC: 82B23 81R12 PDFBibTeX XMLCite \textit{A. Kundu}, Theor. Math. Phys. 118, No. 3, 333--340 (1999; Zbl 0957.82012); translation from Teor. Mat. Fiz. 118, No. 3, 423--433 (1999) Full Text: DOI
Galiev, V. I.; Polupanov, A. F. Accurate solutions of coupled radial Schrödinger equations. (English) Zbl 0972.81033 J. Phys. A, Math. Gen. 32, No. 29, 5477-5492 (1999). MSC: 81Q05 81Q10 81U20 65M70 34E05 34L25 34L05 PDFBibTeX XMLCite \textit{V. I. Galiev} and \textit{A. F. Polupanov}, J. Phys. A, Math. Gen. 32, No. 29, 5477--5492 (1999; Zbl 0972.81033) Full Text: DOI
Wunsch, Jared Propagation of singularities and growth for Schrödinger operators. (English) Zbl 0953.35121 Duke Math. J. 98, No. 1, 137-186 (1999). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35Q40 58J47 58J40 58J50 35B40 35B65 35S05 PDFBibTeX XMLCite \textit{J. Wunsch}, Duke Math. J. 98, No. 1, 137--186 (1999; Zbl 0953.35121) Full Text: DOI
Asada, Akira Clifford bundles over mapping spaces. (English) Zbl 0951.58013 Kolář, Ivan (ed.) et al., Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10-14, 1998. Brno: Masaryk University. 309-317 (1999). Reviewer: D.Motreanu (Iaşi) MSC: 58D15 58J50 15A63 81T30 PDFBibTeX XMLCite \textit{A. Asada}, in: Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10--14, 1998. Brno: Masaryk University. 309--317 (1999; Zbl 0951.58013) Full Text: EMIS
Phung Ho Hai Poincaré series of quantum spaces associated to Hecke operators. (English) Zbl 0949.16025 Acta Math. Vietnam. 24, No. 2, 235-246 (1999). Reviewer: V.A.Artamonov (Moskva) MSC: 16S37 16W30 17B37 16W50 81R50 82B23 PDFBibTeX XMLCite \textit{Phung Ho Hai}, Acta Math. Vietnam. 24, No. 2, 235--246 (1999; Zbl 0949.16025) Full Text: arXiv
Benarous, Mohamed; Flocard, Hubert Time-dependent variational approach for boson systems. (English) Zbl 0930.47048 Ann. Phys. 273, No. 2, 242-266 (1999). Reviewer: P.Dyshlovenko (Ul’yanovsk) MSC: 47N55 82C10 47N50 PDFBibTeX XMLCite \textit{M. Benarous} and \textit{H. Flocard}, Ann. Phys. 273, No. 2, 242--266 (1999; Zbl 0930.47048) Full Text: DOI
Koshmanenko, V. Singular quadratic forms in perturbation theory. Translated from the 1993 Russian original by P. V. Malyshev and D. V. Malyshev. Completely rev. and updated translation. (English) Zbl 0933.47008 Mathematics and its Applications (Dordrecht). 474. Dordrecht: Kluwer Academic Publishers. viii, 308 p. (1999). Reviewer: W.D.Evans (Cardiff) MSC: 47A55 47B25 47-02 81Q15 47N50 47A40 PDFBibTeX XMLCite \textit{V. Koshmanenko}, Singular quadratic forms in perturbation theory. Translated from the 1993 Russian original by P. V. Malyshev and D. V. Malyshev. Completely rev. and updated translation. Dordrecht: Kluwer Academic Publishers (1999; Zbl 0933.47008)
Krall, Allan M.; Bairamov, Elgiz; Çakar, Öner Spectrum and spectral singularities of a quadratic pencil of a Schrödinger operator with a general boundary condition. (English) Zbl 0927.34063 J. Differ. Equations 151, No. 2, 252-267 (1999). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L05 34L40 34B24 81Q05 PDFBibTeX XMLCite \textit{A. M. Krall} et al., J. Differ. Equations 151, No. 2, 252--267 (1999; Zbl 0927.34063) Full Text: DOI
Fomin, Sergey; Kirillov, Anatol N. Quadratic algebras, Dunkl elements, and Schubert calculus. (English) Zbl 0940.05070 Brylinski, Jean-Luc (ed.) et al., Advances in geometry. Boston, MA: Birkhäuser. Prog. Math. 172, 147-182 (1999). Reviewer: Cai Meng Li (Perth) MSC: 05E15 14M15 PDFBibTeX XMLCite \textit{S. Fomin} and \textit{A. N. Kirillov}, Prog. Math. 172, 147--182 (1999; Zbl 0940.05070)
Kleinert, H.; Chervyakov, A. Simple explicit formulas for Gaussian path integrals with time-dependent frequencies. (English) Zbl 0941.81047 Phys. Lett., A 245, No. 5, 345-357 (1998). MSC: 81S40 PDFBibTeX XMLCite \textit{H. Kleinert} and \textit{A. Chervyakov}, Phys. Lett., A 245, No. 5, 345--357 (1998; Zbl 0941.81047) Full Text: DOI arXiv
Frieler, K.; Rehren, K.-H. A non-Abelian square root of Abelian vertex operators. (English) Zbl 1006.46051 J. Math. Phys. 39, No. 6, 3073-3090 (1998). MSC: 46N50 81T40 81R10 46F10 81T05 PDFBibTeX XMLCite \textit{K. Frieler} and \textit{K. H. Rehren}, J. Math. Phys. 39, No. 6, 3073--3090 (1998; Zbl 1006.46051) Full Text: DOI arXiv
Ganikhodzhaev, N. N.; Mukhamedov, F. M. Ergodic properties of quantum quadratic stochastic processes defined on von Neumann algebras. (English. Russian original) Zbl 0934.46071 Russ. Math. Surv. 53, No. 6, 1350-1351 (1998); translation from Usp. mat. Nauk 53, No. 6, 243-244 (1998). Reviewer: Hideo Yamagata (Osaka) MSC: 46N30 46N50 47A35 46L30 PDFBibTeX XMLCite \textit{N. N. Ganikhodzhaev} and \textit{F. M. Mukhamedov}, Russ. Math. Surv. 53, No. 6, 1350--1351 (1998; Zbl 0934.46071); translation from Usp. mat. Nauk 53, No. 6, 243--244 (1998) Full Text: DOI
Jang, Youngho An asymptotic expansion of the \(p\)-adic Green function. (English) Zbl 0917.11059 Tohoku Math. J., II. Ser. 50, No. 2, 229-242 (1998). Reviewer: Anatoly N.Kochubei (Kiev) MSC: 11S80 11Z05 81T08 81Q99 34B27 35S99 PDFBibTeX XMLCite \textit{Y. Jang}, Tôhoku Math. J. (2) 50, No. 2, 229--242 (1998; Zbl 0917.11059) Full Text: DOI
Arnaudon, D.; Bauer, M. Centre and representations of small quantum superalgebras at roots of unity. (English) Zbl 1019.17500 Czech. J. Phys. 46, No. 12, 1121-1129 (1996). MSC: 17B37 81R50 17B70 PDFBibTeX XMLCite \textit{D. Arnaudon} and \textit{M. Bauer}, Czech. J. Phys. 46, No. 12, 1121--1129 (1996; Zbl 1019.17500) Full Text: DOI
Eleonsky, V. M.; Korolev, V. G. On the nonlinear Fock description of quantum systems with quadratic spectra. (English) Zbl 0899.47046 J. Phys. A, Math. Gen. 29, No. 10, L241-L248 (1996). MSC: 81Q05 47N50 81S99 PDFBibTeX XMLCite \textit{V. M. Eleonsky} and \textit{V. G. Korolev}, J. Phys. A, Math. Gen. 29, No. 10, L241--L248 (1996; Zbl 0899.47046) Full Text: DOI
Bagrov, V. G.; Samsonov, B. F. Darboux transformation, factorization, and supersymmetry in one-dimensional quantum mechanics. (English. Russian original) Zbl 0857.34070 Theor. Math. Phys. 104, No. 2, 1051-1060 (1995); translation from Teor. Mat. Fiz. 104, No. 2, 356-367 (1995). MSC: 34L40 81U40 34A25 17A70 PDFBibTeX XMLCite \textit{V. G. Bagrov} and \textit{B. F. Samsonov}, Theor. Math. Phys. 104, No. 2, 1051--1060 (1995; Zbl 0857.34070); translation from Teor. Mat. Fiz. 104, No. 2, 356--367 (1995) Full Text: DOI
Katriel, J.; Abdesselam, B.; Chakrabarti, A. The fundamental invariant of the Hecke algebra \(\text{H}_ n(q)\) characterizes the representations of \(\text{H}_ n(q)\), \(S_ n\), \(\text{SU}_ q(N)\), and \(\text{SU}(N)\). (English) Zbl 0847.20041 J. Math. Phys. 36, No. 9, 5139-5158 (1995). MSC: 20G05 20C30 17B37 81R50 PDFBibTeX XMLCite \textit{J. Katriel} et al., J. Math. Phys. 36, No. 9, 5139--5158 (1995; Zbl 0847.20041) Full Text: DOI arXiv
Kimura, Takashi; Voronov, Alexander A. The cohomology of algebras over moduli spaces. (English) Zbl 0906.17016 Dijkgraaf, R. H. (ed.) et al., The moduli space of curves. Proceedings of the conference held on Texel Island, Netherlands, during the last week of April 1994. Basel: Birkhäuser. Prog. Math. 129, 305-334 (1995). MSC: 17B56 17B69 17A42 81T40 18G35 PDFBibTeX XMLCite \textit{T. Kimura} and \textit{A. A. Voronov}, Prog. Math. 129, 305--334 (1995; Zbl 0906.17016) Full Text: arXiv
Wang, Xiangbin; Yu, Sixia; Zhang, Yongde Linear quantum transformation and normal product calculation of boson exponential quadratic operators. (English) Zbl 0844.15014 J. Phys. A, Math. Gen. 27, No. 19, 6563-6569 (1994). MSC: 15A90 81S05 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Phys. A, Math. Gen. 27, No. 19, 6563--6569 (1994; Zbl 0844.15014) Full Text: DOI
Fernández, F. M.; Piñeiro, A. Lopez; Moreno, B. Alternative factorization of eigenvalue problems in one dimension. (English) Zbl 0841.34087 J. Phys. A, Math. Gen. 27, No. 14, 5013-5028 (1994). MSC: 34L40 81Q05 34C20 34L05 PDFBibTeX XMLCite \textit{F. M. Fernández} et al., J. Phys. A, Math. Gen. 27, No. 14, 5013--5028 (1994; Zbl 0841.34087) Full Text: DOI
Møller, Jacob Schach Second quantization in a quon-algebra. (English) Zbl 0818.46080 J. Phys. A, Math. Gen. 26, No. 18, 4643-4652 (1993). MSC: 46N50 81S05 PDFBibTeX XMLCite \textit{J. S. Møller}, J. Phys. A, Math. Gen. 26, No. 18, 4643--4652 (1993; Zbl 0818.46080) Full Text: DOI
Boutet de Monvel-Berthier, Anne; Manda, Dragos The conjugate operator method for strongly singular operators. (English) Zbl 0812.47007 Lett. Math. Phys. 29, No. 3, 183-196 (1993). MSC: 47A40 81Q10 PDFBibTeX XMLCite \textit{A. Boutet de Monvel-Berthier} and \textit{D. Manda}, Lett. Math. Phys. 29, No. 3, 183--196 (1993; Zbl 0812.47007) Full Text: DOI
Dattoli, G.; Torre, A. A quantum mechanical point of view to perturbative problems in classical mechanics. (English) Zbl 0784.70017 J. Math. Phys. 34, No. 11, 5062-5071 (1993). MSC: 70H05 81Q15 81P99 PDFBibTeX XMLCite \textit{G. Dattoli} and \textit{A. Torre}, J. Math. Phys. 34, No. 11, 5062--5071 (1993; Zbl 0784.70017) Full Text: DOI
Maldonado, Osvaldo On the Bogolyubov transformation for quadratic boson observables. (English) Zbl 0786.15034 J. Math. Phys. 34, No. 11, 5016-5027 (1993). MSC: 15A90 15A21 81Q10 PDFBibTeX XMLCite \textit{O. Maldonado}, J. Math. Phys. 34, No. 11, 5016--5027 (1993; Zbl 0786.15034) Full Text: DOI
Huang, Zhiyuan Quantum white noises – white noise approach to quantum stochastic calculus. (English) Zbl 0766.60083 Nagoya Math. J. 129, 23-42 (1993). Reviewer: Z.Huang (Wuhan) MSC: 60H25 81P20 PDFBibTeX XMLCite \textit{Z. Huang}, Nagoya Math. J. 129, 23--42 (1993; Zbl 0766.60083) Full Text: DOI
Cohn, Steve Resonance and long time existence for the quadratic semilinear Schrödinger equation. (English) Zbl 0774.34063 Commun. Pure Appl. Math. 45, No. 8, 973-1001 (1992). Reviewer: E.Elizalde (Barcelona) MSC: 34L40 81Q05 PDFBibTeX XMLCite \textit{S. Cohn}, Commun. Pure Appl. Math. 45, No. 8, 973--1001 (1992; Zbl 0774.34063) Full Text: DOI
Arai, Asao Noninvertible Bogoliubov transformations and instability of embedded eigenvalues. (English) Zbl 0741.47016 J. Math. Phys. 32, No. 7, 1838-1846 (1991). MSC: 47N50 47A40 47B25 PDFBibTeX XMLCite \textit{A. Arai}, J. Math. Phys. 32, No. 7, 1838--1846 (1991; Zbl 0741.47016) Full Text: DOI Link
Kirschner, R. Dynamics on bordered Riemann surfaces and string Green functions. (English) Zbl 0696.58050 Classical Quantum Gravity 7, No. 1, 73-85 (1990). Reviewer: R.Kirschner MSC: 58Z05 58C99 14H05 58A10 30F30 81T30 PDFBibTeX XMLCite \textit{R. Kirschner}, Classical Quantum Gravity 7, No. 1, 73--85 (1990; Zbl 0696.58050) Full Text: DOI
Accardi, Luigi; Lu, Yun Gang The low density limit and the quantum Poisson process. (English) Zbl 0735.46050 Probability theory and mathematical statistics, Proc. 5th Vilnius Conf., Vilnius/Lith. 1989, Vol. I, 1-27 (1990). MSC: 46N50 60J65 47N50 46L60 60G20 PDFBibTeX XMLCite \textit{L. Accardi} and \textit{Y. G. Lu}, in: Probability theory and mathematical statistics, Proc. 5th Vilnius Conf., Vilnius/Lith. 1989, Vol. I, . 1--27 (1990; Zbl 0735.46050)
Kostrikin, A. I.; Manin, Yu. I. Linear algebra and geometry. Transl. from the 2nd Russian edition by M. E. Alferieff. (English) Zbl 0755.15002 Algebra, Logic and Applications. 1. New York etc.: Gordon & Breach Science Publishers. ix, 309 pp. (1989). MSC: 15-01 15A63 51N10 51N15 15A69 81Q10 81S10 11E81 15A66 53B35 15A03 PDFBibTeX XMLCite \textit{A. I. Kostrikin} and \textit{Yu. I. Manin}, Linear algebra and geometry. Transl. from the 2nd Russian edition by M. E. Alferieff. New York etc.: Gordon \&| Breach Science Publishers (1989; Zbl 0755.15002)