Exact solvability of superintegrable systems
DOI10.1063/1.1386927zbMath1011.81019arXivhep-th/0011209OpenAlexW3106386763MaRDI QIDQ2775030
Piergiulio Tempesta, Pavel Winternitz, Alexander~V. Turbiner
Publication date: 26 February 2002
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0011209
Euclidean planeintegrals of motionhidden algebra \(sl(3)\)highest-weight finite-dimensional representations
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)
Related Items
Cites Work
- Quantal problems with partial algebraization of the spectrum
- Quasi-exactly-solvable problems and sl(2) algebra
- Superintegrable systems in quantum mechanics and classical Lie theory
- Quasi-exactly solvable Lie algebras of differential operators in two complex variables
- Group theory of the Smorodinsky–Winternitz system
- Lie algebras and polynomials in one variable
- Lie Algebras of Vector Fields in the Real Plane
- Superintegrability of the Calogero–Moser system: Constants of motion, master symmetries, and time-dependent symmetries
- Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions
- On the Problem of Degeneracy in Quantum Mechanics