SUPERINTEGRABLE QUANTUM OSCILLATOR AND KEPLER-COULOMB SYSTEMS ON CURVED SPACES

DOI10.1142/9789814518550_0025zbMath1297.81090arXiv1304.4544OpenAlexW1607962017MaRDI QIDQ3190594

Danilo Riglioni, Alberto Enciso, Orlando Ragnisco, Francisco J. Herranz, Ángel Ballesteros

Publication date: 18 September 2014

Published in: Symmetries and Groups in Contemporary Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4544

zbMATH Keywords

integrable systemscurvaturequantizationexact solvability

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (3)

The Perlick system type I: from the algebra of symmetries to the geometry of the trajectories ⋮ Superintegrable systems with position dependent mass ⋮ Superintegrable systems in non-Euclidean plane: Hidden symmetries leading to linearity

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