Fan, Zhao Bing; Geng, Ji Cheng; Han, Shao Long Differential operator approach to \(\imath\)quantum groups and their oscillator representations. (English) Zbl 07850968 Acta Math. Sin., Engl. Ser. 40, No. 5, 1360-1374 (2024). MSC: 17B37 20G42 16S32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liang, Zhenguo; Zhao, Zhiyan; Zhou, Qi Almost reducibility and oscillatory growth of Sobolev norms. (English) Zbl 1529.35422 Adv. Math. 436, Article ID 109417, 54 p. (2024). MSC: 35Q40 35Q41 37C60 47G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Zhenyu; Xu, Xiaoping Full projective oscillator representations of special linear Lie algebras and combinatorial identities. (English) Zbl 1537.17018 J. Lie Theory 33, No. 4, 1139-1176 (2023). MSC: 17B10 05A19 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Bakke, K.; Belich, H. Effects of the Lorentz symmetry violation caused by the coupling between the vector field \(f^\mu\gamma^5\) and the derivative of the fermionic field on the modified Pöschl-Teller, Woods-Saxon and harmonic oscillator potentials. (English) Zbl 1529.81039 Int. J. Theor. Phys. 62, No. 6, Paper No. 114, 10 p. (2023). MSC: 81P68 81V74 22E43 26A24 81R40 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xiao Ping Singular conformal oscillator representations of orthosymplectic Lie superalgebras. (English) Zbl 1518.17016 Acta Math. Sin., Engl. Ser. 38, No. 12, 2131-2149 (2022). MSC: 17B10 17B20 22E46 × Cite Format Result Cite Review PDF Full Text: DOI
Aremua, Isiaka; Hounkonnou, Mahouton Norbert; Sodoga, Komi; Tchakpélé, Paalamwé Komi Density operator formulation for a supersymmetric harmonic oscillator: vector coherent state construction and statistical properties. (English) Zbl 07633039 Rep. Math. Phys. 90, No. 3, 399-418 (2022). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Grishechkin, Yu. A.; Kapshai, V. N. Approximate analytic solution of the Logunov-Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation. (English. Russian original) Zbl 1515.81090 Theor. Math. Phys. 211, No. 3, 826-837 (2022); translation from Teor. Mat. Fiz. 211, No. 3, 455-468 (2022). MSC: 81Q05 34B24 34L40 34A45 × Cite Format Result Cite Review PDF Full Text: DOI
Acquaviva, G.; Iorio, A.; Smaldone, L. Quantum groups and polymer quantum mechanics. (English) Zbl 1489.81040 Mod. Phys. Lett. A 36, No. 32, Article ID 2150229, 11 p. (2021). MSC: 81R50 82D60 81S20 42B20 30H20 35R03 81Q12 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boudi, Nadia; Ennadifi, Zakariae Change of representation and the rigged Hilbert space formalism in quantum mechanics. (English) Zbl 07371587 Rep. Math. Phys. 87, No. 2, 145-166 (2021). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47A70 46N50 47N50 × Cite Format Result Cite Review PDF Full Text: DOI
Gomez, Raul; Gourevitch, Dmitry; Sahi, Siddhartha Whittaker supports for representations of reductive groups. (Supports de Whittaker pour les représentations des groupes réductifs.) (English. French summary) Zbl 1539.20024 Ann. Inst. Fourier 71, No. 1, 239-286 (2021). MSC: 20G05 20G20 20G25 20G30 20G35 22E27 22E46 22E50 22E55 17B08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Ling; Xu, Xiaoping Projective oscillator representations of \(sl(n+1|m)\) and \(osp(m|n+1)\). (English) Zbl 1473.17024 Commun. Algebra 49, No. 2, 797-823 (2021). Reviewer: Salah Mehdi (Metz) MSC: 17B10 17B20 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xiaoping Conformal oscillator representations of orthosymplectic Lie superalgebras. (English) Zbl 1495.17012 J. Pure Appl. Algebra 225, No. 3, Article ID 106530, 24 p. (2021). MSC: 17B10 22E46 × Cite Format Result Cite Review PDF Full Text: DOI
Lang, Sabine J. Projective cases for the restriction of the oscillator representation to dual pairs of type I. (English) Zbl 1465.11137 Pac. J. Math. 308, No. 2, 393-406 (2020). MSC: 11F70 11F27 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cushman, Richard; Śniatycki, Jędrzej Geometric quantization of the \(1:1\) oscillator. (English) Zbl 1452.81120 Qual. Theory Dyn. Syst. 19, No. 3, Paper No. 81, 25 p. (2020). Reviewer: Andrea Galasso (Taipei) MSC: 81Q70 70H05 81S08 17B08 81S10 × Cite Format Result Cite Review PDF Full Text: DOI
Gurevich, Shamgar; Howe, Roger Rank and duality in representation theory. (English) Zbl 1469.11078 Jpn. J. Math. (3) 15, No. 2, 223-309 (2020). Reviewer: Chunhui Wang (Wuhan) MSC: 11F27 20C33 20C35 20G40 20G05 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Langr, Daniel; Dytrych, Tomáš; Draayer, Jerry P.; Launey, Kristina D.; Tvrdík, Pavel Efficient algorithm for representations of U(3) in \(\mathrm{U}(N)\). (English) Zbl 07674860 Comput. Phys. Commun. 244, 442-447 (2019). MSC: 81-XX 78-XX × Cite Format Result Cite Review PDF Full Text: DOI
Gourevitch, Dmitry; Sahi, Siddhartha Generalized and degenerate Whittaker quotients and Fourier coefficients. (English) Zbl 1469.20046 Aizenbud, Avraham (ed.) et al., Representations of reductive groups. Conference in honor of Joseph Bernstein. Representation theory and algebraic geometry, June 11–16, 2017. Weizmann Institute of Science and The Hebrew University of Jerusalem, Israel. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 101, 133-154 (2019). MSC: 20G05 20G20 20G25 20G30 20G35 22E27 17B08 × Cite Format Result Cite Review PDF Full Text: arXiv
Cintra, Daniel; Cumunel, Gwendal; Argoul, Pierre Experimental study of the argumental transverse vibration of a beam excited through intermittent elastic contact by a harmonic axial motion. (English) Zbl 1430.74082 Nonlinear Dyn. 97, No. 2, 903-919 (2019). MSC: 74K10 70K30 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Lashko, Yu. A.; Vasilevsky, V. S.; Filippov, G. F. Properties of a potential energy matrix in oscillator basis. (English) Zbl 1425.81040 Ann. Phys. 409, Article ID 167930, 26 p. (2019). MSC: 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grishechkin, Yu. A.; Kapshai, V. N. Solution of the Logunov-Tavkhelidze equation for the three-dimensional oscillator potential in the relativistic configuration representation. (English. Russian original) Zbl 1423.81066 Russ. Phys. J. 61, No. 9, 1645-1652 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 61, No. 9, 83-89 (2018). MSC: 81Q05 81Q40 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Jing-Song; Zhou, Ling Generalized Fourier transforms associated with the oscillator representation. (English) Zbl 1423.42012 J. Fourier Anal. Appl. 25, No. 5, 2782-2800 (2019). MSC: 42B10 × Cite Format Result Cite Review PDF Full Text: DOI
Hou, Jian; Yan, Xiao-Peng; Li, Ping; Hao, Xin-Hong Adaptive time-frequency representation for weak chirp signals based on Duffing oscillator stopping oscillation system. (English) Zbl 1426.94045 Int. J. Adapt. Control Signal Process. 32, No. 6, 777-791 (2018). MSC: 94A12 34C28 × Cite Format Result Cite Review PDF Full Text: DOI
Bai, Zhanqiang Gelfand-Kirillov dimensions of the \(\mathbb Z\)-graded oscillator representations of \(\mathfrak{o}(n,\mathbb C)\) and \(\mathfrak{sp}(2n,\mathbb C)\). (English) Zbl 1411.17014 Commun. Algebra 46, No. 9, 3689-3710 (2018). MSC: 17B10 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hotta, Shu Mathematical physical chemistry. Practical and intuitive methodology. (English) Zbl 1411.81002 Singapore: Springer (ISBN 978-981-10-7670-1/hbk; 978-981-10-7671-8/ebook). xv, 627 p. (2018). Reviewer: Eugene Kryachko (Kyiv) MSC: 81-01 81Pxx 81Qxx 81Rxx 81V55 80A50 × Cite Format Result Cite Review PDF Full Text: DOI
Gurevich, Shamgar; Howe, Roger Small representations of finite classical groups. (English) Zbl 1405.20036 Cogdell, Jim (ed.) et al., Representation theory, number theory, and invariant theory. In honor of Roger Howe on the occasion of his 70th birthday, Yale University, New Haven, CT, USA, June 1–5, 2015. Cham: Birkhäuser/Springer (ISBN 978-3-319-59727-0/hbk; 978-3-319-59728-7/ebook). Progress in Mathematics 323, 209-234 (2017). MSC: 20G05 11F27 22E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Adams, Jeffrey D.; Prasad, Dipendra; Savin, Gordan Euler-Poincaré characteristic for the oscillator representation. (English) Zbl 1433.11058 Cogdell, Jim (ed.) et al., Representation theory, number theory, and invariant theory. In honor of Roger Howe on the occasion of his 70th birthday, Yale University, New Haven, CT, USA, June 1–5, 2015. Cham: Birkhäuser/Springer. Prog. Math. 323, 1-22 (2017). MSC: 11F70 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Milián, Segundo P. Supermultiplet of \(\beta\)-deformations from twistors. (English) Zbl 1375.81225 Int. J. Mod. Phys. A 32, No. 26, Article ID 1750157, 19 p. (2017). MSC: 81T60 81T13 81R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gomez, Raul; Gourevitch, Dmitry; Sahi, Siddhartha Generalized and degenerate Whittaker models. (English) Zbl 1384.20039 Compos. Math. 153, No. 2, 223-256 (2017). Reviewer: Dubravka Ban (Carbondale) MSC: 20G05 20G20 20G25 20G30 20G35 22E27 22E46 22E50 22E55 17B08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hashimoto, Takashi The moment map on symplectic vector space and oscillator representation. (English) Zbl 1373.22023 Kyoto J. Math. 57, No. 3, 553-583 (2017). Reviewer: Dmitry Artamonov (Moskva) MSC: 22E46 17B20 81S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Xu, Xiaoping Representations of Lie algebras and partial differential equations. (English) Zbl 1391.17001 Singapore: Springer (ISBN 978-981-10-6390-9/hbk; 978-981-10-6391-6/ebook). xxxvi, 620 p. (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-02 17B10 17B22 17B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei Tridiagonal representations of the \(q\)-oscillator algebra and Askey-Wilson polynomials. (English) Zbl 1368.81074 J. Phys. A, Math. Theor. 50, No. 23, Article ID 235202, 15 p. (2017). MSC: 81Q10 17B81 33C45 33D45 47B36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khan, Subuhi; Ali, Mahvish Lie algebra representations and 1-parameter 2D-Hermite polynomials. (English) Zbl 1374.33013 Integral Transforms Spec. Funct. 28, No. 4, 315-327 (2017). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 33C45 47A67 22E60 × Cite Format Result Cite Review PDF Full Text: DOI
Sam, Steven V.; Snowden, Andrew Infinite rank spinor and oscillator representations. (English) Zbl 1370.15024 J. Comb. Algebra 1, No. 2, 145-183 (2017). Reviewer: Rabe von Randow (Bonn) MSC: 15A66 05E05 15A69 20G05 15A72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Xiaoping Conformal oscillator representations of orthogonal Lie algebras. (English) Zbl 1375.17008 Sci. China, Math. 59, No. 1, 37-48 (2016). MSC: 17B10 22E46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Xiaoping \(\mathrm{sl}(n+1)\) and \(\mathrm{sp}(2m+2)\). (English) Zbl 1404.17013 J. Lie Theory 26, No. 1, 97-115 (2016). MSC: 17B10 17B20 × Cite Format Result Cite Review PDF Full Text: Link
Gusev, A. A.; Vinitsky, S. I.; Chuluunbaatar, O.; Derbov, V. L.; Góźdź, A.; Krassovitskiy, P. M. Metastable states of a composite system tunneling through repulsive barriers. (English. Russian original) Zbl 1338.81411 Theor. Math. Phys. 186, No. 1, 21-40 (2016); translation from Teor. Mat. Fiz. 186, No. 1, 27-50 (2016). MSC: 81V35 81U35 81U10 81U30 81T80 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Feiler, C.; Schleich, W. P. Dirichlet series as interfering probability amplitudes for quantum measurements. (English) Zbl 1452.11150 New J. Phys. 17, No. 6, Article ID 063040, 10 p. (2015). MSC: 11Z05 11F66 81P10 × Cite Format Result Cite Review PDF Full Text: DOI
Khusainov, Denys Ya; Pokojovy, Michael; Azizbayov, Elvin I. On the Cauchy problem for a linear harmonic oscillator with pure delay. (English) Zbl 1422.34188 Adv. Difference Equ. 2015, Paper No. 197, 20 p. (2015). MSC: 34K06 39A06 39B42 34K26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fakhri, Hossein; Nouraddini, Mojtaba Hilbert-Schmidt inner product for an adjoint representation of the quantum algebra \(\overset{\smile}{U}_Q(\mathfrak{SU}_2)\). (English) Zbl 1359.17025 Rep. Math. Phys. 76, No. 2, 141-147 (2015). MSC: 17B37 81R10 × Cite Format Result Cite Review PDF Full Text: DOI
Hunziker, Markus; Sepanski, Mark R.; Stanke, Ronald J. A system of Schrödinger equations and the oscillator representation. (English) Zbl 1330.22016 Electron. J. Differ. Equ. 2015, Paper No. 260, 28 p. (2015). Reviewer: Lubomira Softova (Aversa) MSC: 22E30 35A30 35J10 58J70 × Cite Format Result Cite Review PDF Full Text: EMIS
Sun, Binyong; Zhu, Chen-Bo Conservation relations for local theta correspondence. (English) Zbl 1321.22017 J. Am. Math. Soc. 28, No. 4, 939-983 (2015). Reviewer: Ivan Matić (Osijek) MSC: 22E46 22E50 11F27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bachar, Yossi; Arshansky, Rafael I.; Horwitz, Lawrence P.; Aharonovich, Igal Lorentz invariant Berry phase for a perturbed relativistic four dimensional harmonic oscillator. (English) Zbl 1304.81092 Found. Phys. 44, No. 11, 1156-1167 (2014). MSC: 81Q70 81Q05 70H40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Voronov, B. L.; Tyutin, I. V. Generalized oscillator representations for generalized Calogero Hamiltonians. (English. Russian original) Zbl 1298.81084 Theor. Math. Phys. 179, No. 1, 416-451 (2014); translation from Teor. Mat. Fiz. 179, No. 1, 36-77 (2014). MSC: 81Q05 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aubert, Anne-Marie; Przebinda, Tomasz A reverse engineering approach to the Weil representation. (English) Zbl 1297.22008 Cent. Eur. J. Math. 12, No. 10, 1500-1585 (2014). Reviewer: L. N. Vaserstein (University Park) MSC: 22E45 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Cuiling; Xu, Xiaoping \(\mathbb Z\)-graded oscillator representations of symplectic Lie algebras. (English) Zbl 1308.17011 J. Algebra 403, 401-425 (2014). MSC: 17B10 17B20 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Cuiling; Xu, Xiaoping Supersymmetric analogues of the classical theorem on harmonic polynomials. (English) Zbl 1358.17009 J. Algebra Appl. 13, No. 6, Article ID 1450011, 42 p. (2014). MSC: 17B10 17B20 35C11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Rongquan; Gu, Zhenhua; Wang, Zilong; Wu, Hongfeng; Zhou, Kai On the construction of finite oscillator dictionary. (English) Zbl 1288.94018 Commun. Algebra 42, No. 8, 3427-3437 (2014). MSC: 94A12 11F27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pashaev, Oktay K.; Nalci, Sengul \(q\)-analytic functions, fractals and generalized analytic functions. (English) Zbl 1285.81036 J. Phys. A, Math. Theor. 47, No. 4, Article ID 045204, 25 p. (2014). MSC: 81R50 17B37 28A80 30G30 × Cite Format Result Cite Review PDF Full Text: DOI
Hunziker, Markus; Sepanski, Mark R.; Stanke, Ronald J. Global Lie symmetries of a system of Schrödinger equations and the oscillator representation. (English) Zbl 1299.22007 Miskolc Math. Notes 14, No. 2, 647-657 (2013). MSC: 22E45 22E70 × Cite Format Result Cite Review PDF
Bidasyuk, Y.; Vanroose, W. Improved convergence of scattering calculations in the oscillator representation. (English) Zbl 1284.65092 J. Comput. Phys. 234, 60-78 (2013). MSC: 65L20 65L12 81V05 34L40 34D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luo, Cuiling; Xu, Xiaoping \(\mathbb Z\)-graded oscillator generalizations of the classical theorem on harmonic polynomials. (English) Zbl 1286.17009 J. Lie Theory 23, No. 4, 979-1003 (2013). MSC: 17B10 17B20 42B37 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Panahi, H.; Rad, S. Asghari Two and \(k\)-photon Jaynes-Cummings models and Dirac oscillator problem in Bargmann-Segal representation. (English) Zbl 1282.81211 Int. J. Theor. Phys. 52, No. 11, 4068-4073 (2013). MSC: 81V80 × Cite Format Result Cite Review PDF Full Text: DOI
Neeb, Karl-Hermann; Zellner, Christoph Oscillator algebras with semi-equicontinuous coadjoint orbits. (English) Zbl 1279.22016 Differ. Geom. Appl. 31, No. 2, 268-283 (2013). MSC: 22E45 22E65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghomari, Kaoutar; Messirdi, Bekkai; Ngọc, San Vũ Asymptotic analysis for Schrödinger Hamiltonians via Birkhoff-Gustavson normal form. (English) Zbl 1288.70014 Asymptotic Anal. 85, No. 1-2, 1-28 (2013). Reviewer: Giuseppe Gaeta (Milano) MSC: 70K45 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Wakayama, Masato Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun’s differential equation. (English) Zbl 1278.34099 Proc. Japan Acad., Ser. A 89, No. 6, 69-73 (2013). MSC: 34L15 34L40 81Q10 34M05 81S05 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Luo, Cuiling; Xu, Xiaoping \(\mathbb Z^2\)-graded oscillator representations of \(\mathrm{sl}(n)\). (English) Zbl 1286.17008 Commun. Algebra 41, No. 8, 3147-3173 (2013). MSC: 17B10 17B20 42B37 × Cite Format Result Cite Review PDF Full Text: DOI
Van der Jeugt, Joris Wigner quantization and Lie superalgebra representations. (English) Zbl 1276.81080 Dobrev, Vladimir (ed.), Lie theory and its applications in physics. IX international workshop. Based on the 9th workshop on Lie theory and its applications in physics, Varna, Bulgaria, June 20–26, 2011. Tokyo: Springer (ISBN 978-4-431-54269-8/hbk; 978-4-431-54270-4/ebook). Springer Proceedings in Mathematics & Statistics 36, 149-165 (2013). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 81S05 81S30 81R05 17A70 17B81 × Cite Format Result Cite Review PDF Full Text: DOI
Parovik, R. I. Calculation specific functions of Mittag-Leffler in the computer mathematics Maple. (Russian. English summary) Zbl 1413.65473 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2012, No. 2(5), 51-61 (2012). MSC: 65R10 × Cite Format Result Cite Review PDF
Elze, Hans-Thomas Proliferation of observables and measurement in quantum-classical hybrids. (English) Zbl 1282.81022 Int. J. Quantum Inf. 10, No. 8, Article ID 1241012, 13 p. (2012). MSC: 81P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jafarov, E. I.; Van der Jeugt, J. Discrete series representations for \(\mathfrak{sl}(2|1)\) Meixner polynomials and oscillator models. (English) Zbl 1278.81067 J. Phys. A, Math. Theor. 45, No. 48, Article ID 485201, 18 p. (2012). Reviewer: Benoît Collins (Ottawa) MSC: 81R05 17B81 33C80 81Q65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fischer, Véronique The Heisenberg oscillator. (English) Zbl 1250.22011 Bull. Math. Sci. 2, No. 1, 181-191 (2012). Reviewer: Koichi Saka (Akita) MSC: 22E30 43A80 22E27 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suppes, P.; de Barros, J. Acacio; Oas, G. Phase-oscillator computations as neural models of stimulus-response conditioning and response selection. (English) Zbl 1245.91083 J. Math. Psychol. 56, No. 2, 95-117 (2012). MSC: 91E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pantano, Alessandra; Paul, Annegret; Salamanca-Riba, Susana A. The genuine omega-regular unitary dual of the metaplectic group. (English) Zbl 1242.22020 Can. J. Math. 64, No. 3, 669-704 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E46 × Cite Format Result Cite Review PDF Full Text: DOI Link
Lu, Dan; Howe, Roger The dual pair \((\mathrm{O}_{p,q},\mathrm{O}\widetilde{\mathrm{Sp}}_{2,2})\) and Zuckerman translation. (English) Zbl 1236.22008 Adams, Jeffrey (ed.) et al., Representation theory and mathematical physics. Conference in honor of Gregg Zuckerman’s 60th birthday, Yale University, New Haven, CT, USA, October 24–27, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5246-0/pbk). Contemporary Mathematics 557, 183-213 (2011). Reviewer: Annegret Paul (Kalamazoo) MSC: 22E46 17B10 17B20 × Cite Format Result Cite Review PDF
Zhou, Ruguang; Kui, Ying Integrable fermionic extensions of the Garnier system and the anharmonic oscillator. (English) Zbl 1225.37082 Appl. Math. Comput. 217, No. 22, 9261-9266 (2011). Reviewer: Rakib Efendiev (Baku) MSC: 37K10 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Faustino, N. Further results in discrete Clifford analysis. (English) Zbl 1270.30019 Ruzhansky, Michael (ed.) et al., Progress in analysis and its applications. Proceedings of the 7th international ISAAC congress held at the Imperial College London, London, UK, July 13–18, 2009. Hackensack, NJ: World Scientific (ISBN 978-981-4313-16-2/hbk; 978-981-4313-17-9/ebook). 205-211 (2010). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Sepanski, M. R.; Stanke, R. J. Global Lie symmetries of the heat and Schrödinger equation. (English) Zbl 1404.58053 J. Lie Theory 20, No. 3, 543-580 (2010). MSC: 58J70 22E30 35A30 35J10 35K05 22E45 22E70 × Cite Format Result Cite Review PDF Full Text: Link
McKee, M.; Przebinda, T. Howe’s correspondence for a generic harmonic analyst. (English) Zbl 1188.22007 Colloq. Math. 118, No. 2, 539-557 (2010). Reviewer: Annegret Paul (Kalamazoo) MSC: 22E45 × Cite Format Result Cite Review PDF Full Text: DOI
Ghomari, Kaoutar; Messirdi, Bekkai Hamiltonians spectrum in Fermi resonance via the Birkhoff-Gustavson normal form. (English) Zbl 1204.37049 Int. J. Contemp. Math. Sci. 4, No. 33-36, 1701-1707 (2009). Reviewer: Gheorghe Zet (Iaşi) MSC: 37G05 37J40 81S10 81Q10 × Cite Format Result Cite Review PDF Full Text: Link
Panahi, H.; Jahangiry, L. Shape invariant and Rodrigues solution of the Dirac-shifted oscillator and Dirac-Morse potentials. (English) Zbl 1184.81051 Int. J. Theor. Phys. 48, No. 11, 3234-3240 (2009). MSC: 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Meng, Xiang-Guo; Wang, Ji-Suo; Fan, Hong-Yi Atomic coherent states as the eigenstates of a two-dimensional anisotropic harmonic oscillator in a uniform magnetic field. (English) Zbl 1179.81058 Mod. Phys. Lett. A 24, No. 38, 3129-3136 (2009). MSC: 81Q05 81R30 81P40 × Cite Format Result Cite Review PDF Full Text: DOI
Gurevich, Shamgar; Hadani, Ronny Application of the Weil representation: diagonalization of the discrete Fourier transform. (English) Zbl 1180.43003 Gordon, Carolyn S. (ed.) et al., New developments in Lie theory and geometry. Proceedings of the 6th workshop on Lie theory and geometry, Cruz Chica, Córdoba, Argentina, November 13–17, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4651-3/pbk). Contemporary Mathematics 491, 167-178 (2009). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 43A65 65T50 11F27 43A85 × Cite Format Result Cite Review PDF
Ussembayev, Nail Sh. Oscillator representation for pseudoharmonic potential. (English) Zbl 1173.81314 Int. J. Theor. Phys. 48, No. 3, 607-610 (2009). MSC: 81Q05 81R05 × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Hong-Yi; Hu, Li-Yun New approach for solving master equations in quantum optics and quantum statistics by virtue of thermo-entangled state representation. (English) Zbl 1181.81081 Commun. Theor. Phys. 51, No. 4, 729-742 (2009). MSC: 81S22 81V80 81P40 × Cite Format Result Cite Review PDF Full Text: DOI
Gurevich, Shamgar; Hadani, Ronny On the diagonalization of the discrete Fourier transform. (English) Zbl 1165.65089 Appl. Comput. Harmon. Anal. 27, No. 1, 87-99 (2009). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 43A65 11F27 × Cite Format Result Cite Review PDF Full Text: DOI
Vergel, Daniel Gómez; Villaseñor, Eduardo J. S. The time-dependent quantum harmonic oscillator revisited: Applications to quantum field theory. (English) Zbl 1164.81005 Ann. Phys. 324, No. 6, 1360-1385 (2009). MSC: 81Q05 81T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Currey, Brad; McNamara, Tom Decomposition and admissibility for the quasiregular representation for generalized oscillator groups. (English) Zbl 1263.22008 Ólafsson, Gestur (ed.) et al., Radon transforms, geometry, and wavelets. AMS special session, New Orleans, LA, USA, January 7–8, 2007 and workshop, Baton Rouge, LA, USA, January 4–5, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4327-7/pbk). Contemporary Mathematics 464, 51-73 (2008). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 22E45 43A32 42C40 22E25 × Cite Format Result Cite Review PDF Full Text: DOI
Protsak, V.; Przebinda, T. On the occurrence of admissible representations in the real Howe correspondence in stable range. (English) Zbl 1145.22006 Manuscr. Math. 126, No. 2, 135-141 (2008). Reviewer: Annegret Paul (Kalamazoo) MSC: 22E45 22E46 × Cite Format Result Cite Review PDF Full Text: DOI
Bytsko, Andrei G. Baxterization of \(\mathrm{GL}_{q}(2)\) and its application to the Liouville model and some other models on a lattice. (English) Zbl 1145.81038 J. Phys. A, Math. Theor. 41, No. 19, Article ID 194003, 29 p. (2008). Reviewer: Ahmed Hegazi (Mansoura) MSC: 81R50 17B37 81T25 81R12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Binyong Lowest weight modules of \(\widetilde{\mathrm{Sp}_{2n}(\mathbb R)}\) of minimal Gelfand-Kirillov dimension. (English) Zbl 1148.22015 J. Algebra 319, No. 7, 3062-3074 (2008). Reviewer: Hongyu He (Baton Rouge) MSC: 22E55 × Cite Format Result Cite Review PDF Full Text: DOI
Feichtinger, Hans G.; Hazewinkel, Michiel; Kaiblinger, Norbert; Matusiak, Ewa; Neuhauser, Markus Metaplectic operators on \(\mathbb C^n\). (English) Zbl 1142.22007 Q. J. Math. 59, No. 1, 15-28 (2008). Reviewer: Vladimir V. Kisil (Leeds) MSC: 22E45 42C40 42C10 43A32 × Cite Format Result Cite Review PDF Full Text: DOI
Unterberger, André Alternative pseudodifferential analysis. With an application to modular forms. (English) Zbl 1162.22012 Lecture Notes in Mathematics 1935. Berlin: Springer (ISBN 978-3-540-77910-0/pbk). ix, 118 p. (2008). Reviewer: Samuel James Patterson (Göttingen) MSC: 22E45 11F11 47-02 43A80 35Q40 35S05 47G30 11F37 81S30 × Cite Format Result Cite Review PDF Full Text: DOI
Burban, I. M. On \((p,q,\alpha,\beta, l\))-deformed oscillator and its generalized quantum Heisenberg-Weyl algebra. (English) Zbl 1203.81082 Phys. Lett., A 366, No. 4-5, 308-314 (2007). MSC: 81R50 16T05 × Cite Format Result Cite Review PDF Full Text: DOI
Berndt, Rolf Representations of linear groups. An introduction based on examples from physics and number theory. (English) Zbl 1135.22001 Wiesbaden: Vieweg (ISBN 978-3-8348-0319-1/pbk). xii, 270 p. (2007). Reviewer: Vasily A. Chernecky (Odessa) MSC: 22-01 11F70 81V45 22E50 22E70 × Cite Format Result Cite Review PDF
He, Hongyu Functions on symmetric spaces and oscillator representation. (English) Zbl 1115.43007 J. Funct. Anal. 244, No. 2, 536-564 (2007). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 43A85 22E46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Shalaby, Abouzeid M.; El-Basyouny, S. T. A nonperturbative calculation for the effective potential of the \((\frac{g}{4}\phi^{4}-J\phi)_{1+1}\) scalar field theory using the oscillator representation method with Borel resummation. (English) Zbl 1119.82021 Int. J. Mod. Phys. A 22, No. 6, 1265-1278 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 82B27 × Cite Format Result Cite Review PDF Full Text: DOI
Meljanac, S.; Samsarov, A. Matrix oscillator and Laughlin Hall states. (English) Zbl 1234.81151 Phys. Lett., A 351, No. 4-5, 246-250 (2006). MSC: 81V70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Shalaby, Abouzeid M. The effective potential for the PT-symmetric and non-Hermitian \((-g\phi^4)\) field theoretic model. (English) Zbl 1117.81099 Czech. J. Phys. 56, No. 9, 1033-1046 (2006). MSC: 81T10 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Chaturvedi, S.; Marmo, G.; Mukunda, N.; Simon, R.; Zampini, A. The Schwinger representation of a group: concept and applications. (English) Zbl 1113.81086 Rev. Math. Phys. 18, No. 8, 887-912 (2006). MSC: 81S30 22E70 22E46 81R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fan, Hong-Yi; Xu, Xue-Fen Time evolution of a central oscillator in heat bath derived by virtue of the IWOP technique. (English) Zbl 1130.82332 Mod. Phys. Lett. B 20, No. 6, 295-304 (2006). MSC: 82C44 81V80 × Cite Format Result Cite Review PDF Full Text: DOI
Unterberger, André The fourfold way in real analysis. An alternative to the metaplectic representation. (English) Zbl 1088.43002 Progress in Mathematics 250. Basel: Birkhäuser (ISBN 3-7643-7544-2/hbk). x, 220 p. (2006). Reviewer: Anton Deitmar (Tübingen) MSC: 43A80 22E70 33C47 42B99 46C20 81S30 53D12 81Q99 22-02 × Cite Format Result Cite Review PDF
Popov, V. S. On Feynman method of disentangling of noncommuting operators. (English) Zbl 1222.81116 Phys. Lett., A 342, No. 4, 281-285 (2005). MSC: 81P15 81V80 × Cite Format Result Cite Review PDF Full Text: DOI
Paul, Annegret On the Howe correspondence for symplectic-orthogonal dual pairs. (English) Zbl 1084.22008 J. Funct. Anal. 228, No. 2, 270-310 (2005). Reviewer: Albert Sheu (Lawrence) MSC: 22E45 43A65 × Cite Format Result Cite Review PDF Full Text: DOI
Itoh, Minoru Capelli identities for reductive dual pairs. (English) Zbl 1154.17301 Adv. Math. 194, No. 2, 345-397 (2005). MSC: 17B35 13A50 16S32 × Cite Format Result Cite Review PDF Full Text: DOI
He, Hongyu Compositions of theta correspondences. (English) Zbl 1059.22014 Adv. Math. 190, No. 2, 225-263 (2005). Reviewer: Samuel James Patterson (Göttingen) MSC: 22E45 22E46 × Cite Format Result Cite Review PDF Full Text: DOI Link
Thirulogasanthar, K.; Saad, Nasser Coherent states associated with the wavefunctions and the spectrum of the isotonic oscillator. (English) Zbl 1053.81048 J. Phys. A, Math. Gen. 37, No. 16, 4567-4577 (2004). Reviewer: Yong-Qing Chen (Shenzhen) MSC: 81R30 33C15 20G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Przebinda, Tomasz A Capelli Harish-Chandra homomorphism. (English) Zbl 1037.22029 Trans. Am. Math. Soc. 356, No. 3, 1121-1154 (2004). Reviewer: Joachim Hilgert (Paderborn) MSC: 22E46 × Cite Format Result Cite Review PDF Full Text: DOI
Beisert, Niklas The complete one-loop dilatation operator of \(N=4\) super-Yang-Mills theory. (English) Zbl 1097.81575 Nucl. Phys., B 676, No. 1-2, 3-42 (2004). MSC: 81T13 81T60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv