Turbiner's conjecture in three dimensions

DOI10.1016/j.geomphys.2007.11.005zbMath1173.81010arXivmath/0612621OpenAlexW2010486060WikidataQ123344983 ScholiaQ123344983MaRDI QIDQ2476132

Mélisande Fortin Boisvert

Publication date: 11 March 2008

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612621

zbMATH Keywords

Schrödinger operatorsseparation of variablesimprimitive actionsLie algebraic operators

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Cites Work

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• New quasi-exactly solvable Hamiltonians in two dimensions
• Imprimitively Generated Lie-Algebraic Hamiltonians and Separation of Variables
• Lie-algebras and linear operators with invariant subspaces
• Superintegrability in three-dimensional Euclidean space
• Quantum superintegrability and exact solvability in n dimensions
• Representations of Finite-Dimensional Lie Algebras by First-Order Differential Operators. Some Local Results in the Transitive Case

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