Extended Kepler–Coulomb quantum superintegrable systems in three dimensions

DOI10.1088/1751-8113/46/8/085206zbMath1264.81183arXiv1210.8004OpenAlexW3100199193MaRDI QIDQ4915698

Jonathan M. Kress, Ernest G. Kalnins, Willard jun. Miller

Publication date: 11 April 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.8004

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Atomic physics (81V45) Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Applications of Jordan algebras to physics, etc. (17C90)

Related Items (8)

Universal chain structure of quadratic algebras for superintegrable systems with coalgebra symmetry ⋮ Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras ⋮ Quantum superintegrable system with a novel chain structure of quadratic algebras ⋮ Toward a classification of semidegenerate 3D superintegrable systems ⋮ Extended Laplace-Runge-Lentz vectors, new family of superintegrable systems and quadratic algebras ⋮ Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials ⋮ Quartic Poisson algebras and quartic associative algebras and realizations as deformed oscillator algebras ⋮ Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras

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