Exactly solvable supersymmetric quantum mechanics

DOI10.1016/0022-247X(91)90267-4zbMath0731.47055MaRDI QIDQ807965

Asao Arai

Publication date: 1991

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvalue problemsupersymmetric quantum mechanicsexactly solvableone-dimensional or radial Schrödinger operatorsshape-invariant potentials

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) Applications of operator theory in the physical sciences (47N50) Supersymmetry and quantum mechanics (81Q60)

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Cites Work

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• Dynamical breaking of supersymmetry
• Supersymmetry and singular perturbations
• A general class of (essentially) iso-spectral perturbations
• Applications of a commutation formula
• An operator analysis for the Schrödinger, Klein–Gordon, and Dirac equations with a Coulomb potential
• Supersymmetric quantum mechanics defined as sesquilinear forms
• Witten index, axial anomaly, and Krein’s spectral shift function in supersymmetric quantum mechanics
• A search for shape-invariant solvable potentials

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