Superintegrability and higher order integrals for quantum systems

DOI10.1088/1751-8113/43/26/265205zbMath1192.81129arXiv0912.2278OpenAlexW2063001659MaRDI QIDQ3578276

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

Publication date: 19 July 2010

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

Full work available at URL: https://arxiv.org/abs/0912.2278

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenvalue problems for linear operators (47A75) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Operator algebra methods applied to problems in quantum theory (81R15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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