Exactly solvable Schrödinger operators

DOI10.1007/S00023-011-0077-4zbMath1213.81121arXiv1009.0541OpenAlexW3103495657MaRDI QIDQ532484

Michał Wrochna, Jan Dereziński

Publication date: 5 May 2011

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0541

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) Exactly and quasi-solvable systems arising in quantum theory (81U15) Applications of hypergeometric functions (33C90) Special quantum systems, such as solvable systems (81Q80)

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Cites Work

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• A class of exactly solvable potentials. I: One-dimensional Schrödinger equation
• Practical quantum mechanics. Translated from the German.
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• New Soluble Energy Band Problem
• New shape-invariant potentials in supersymmetric quantum mechanics
• A class of solvable potentials
• The Factorization Method

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