Hidden symmetry algebra and construction of quadratic algebras of superintegrable systems

Annals of Physics - Tập 424 - Trang 168378 - 2021
Rutwig Campoamor-Stursberg1, Ian Marquette2
1Instituto de Matemática Interdisciplinar and Dpto. Geometría y Topología, UCM, E-28040 Madrid, Spain
2School of Mathematics and Physics, The University of Queensland, Brisbane, QLD 4072, Australia

Tài liệu tham khảo

Turbiner, 1988, Comm. Math. Phys., 118, 467, 10.1007/BF01466727 Shifman, 1989, Comm. Math. Phys., 126, 347, 10.1007/BF02125129 Turbiner, 1992, J. Phys. A: Math. Gen., 25, L1087, 10.1088/0305-4470/25/18/001 Turbiner, 1994, 263 Tempesta, 2001, J. Math. Phys., 42, 4248, 10.1063/1.1386927 Daskaloyannis, 2010, Phys. Atomic Nucl., 73, 214, 10.1134/S106377881002002X Miller, 2013, J. Phys. A, 46, 10.1088/1751-8113/46/42/423001 Miller, 2014, J. Phys. Conf. Ser., 512, 10.1088/1742-6596/512/1/012012 Hoque, 2015, J. Phys. A, 48 Liao, 2018, J. Phys. A : Math. Theor., 51, 10.1088/1751-8121/aac111 Chen, 2019, Ann. Physics, 411, 10.1016/j.aop.2019.167970 Tremblay, 2009, J. Phys. A: Math. THeor., 42, 10.1088/1751-8113/42/24/242001 Dixmier, 1974 Friš, 1965, Phys. Lett., 16, 354, 10.1016/0031-9163(65)90885-1 Turbiner, 1998, Modern Phys. Lett. A, 13, 1473, 10.1142/S0217732398001558 Yu.F. Smirnov, A.V. Turbiner, gln+1 algebra of Matrix Differential Operators and Matrix Quasi-exactly-solvable Problems, arxiv:1306.1377. Popovych, 2003, J. Phys. A, 36, 7337, 10.1088/0305-4470/36/26/309 Marquette, 2009, J. Math. Phys., 50