Algebraic quantum Hamiltonians on the plane

DOI10.1007/s11232-015-0307-xzbMath1325.81086arXiv1503.05185OpenAlexW1744998503WikidataQ114223335 ScholiaQ114223335MaRDI QIDQ746988

Vladimir Sokolov

Publication date: 22 October 2015

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

Full work available at URL: https://arxiv.org/abs/1503.05185

zbMATH Keywords

classificationdifferential operator with polynomial coefficientspolynomial form of Calogero-Moser operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Operator algebra methods applied to problems in quantum theory (81R15)

Cites Work

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• Lie-algebras and linear operators with invariant subspaces
• Quasi-exact solvability of Inozemtsev models
• Quasi-exact-solvability of the ${{A}_{2}}/{{G}_{2}}$ elliptic model: algebraic forms, $sl(3)/{{g}^{(2)}}$ hidden algebra, and polynomial eigenfunctions

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