Intertwining symmetry algebras of quantum superintegrable systems on the hyperboloid

DOI10.1088/1751-8113/41/25/255201zbMath1161.37048arXiv0803.2117OpenAlexW2100656794MaRDI QIDQ3531140

Javier Negro, Juan A. Calzada, Şengül Kuru, Mariano A. del Olmo

Publication date: 21 October 2008

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

Full work available at URL: https://arxiv.org/abs/0803.2117

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (3)

Integrable and superintegrable systems with higher order integrals of motion: master function formalism ⋮ Intertwining symmetry algebras of quantum superintegrable systems on constant curvature spaces ⋮ The general Racah algebra as the symmetry algebra of generic systems on pseudo-spheres

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