Existence of different intermediate Hamiltonians in type A \(\mathcal N\)-fold supersymmetry. II: The \(\mathcal N= 3\) case

DOI10.1016/J.AOP.2010.02.018zbMath1194.81112arXiv1002.1766OpenAlexW4291188809MaRDI QIDQ987948

Toshiaki Tanaka, Bijan K. Bagchi

Publication date: 24 August 2010

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1766

zbMATH Keywords

intertwining operatorsquasi-solvabilityshape invariance\(\mathcal N\)-fold supersymmetryparasupersymmetrygeneralized superalgebra

Mathematics Subject Classification ID

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) Supersymmetry and quantum mechanics (81Q60) Superalgebras (17A70)

Related Items (4)

Type B 3-fold supersymmetry and non-polynomial invariant subspaces ⋮ ${\mathcal N}$-FOLD SUPERSYMMETRIC QUANTUM MECHANICS WITH REFLECTIONS ⋮ $GL(3,\mathbb {C})$ G L ( 3 , C ) invariance of type B 3-fold supersymmetric systems ⋮ $\cN$-FOLD SUPERSYMMETRY IN QUANTUM MECHANICAL MATRIX MODELS

Cites Work

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• Dynamical breaking of supersymmetry
• Quasi-exactly-solvable problems and sl(2) algebra
• Polynomial supersymmetry and dynamical symmetries in quantum mechanics
• -fold supersymmetry in quantum systems with position-dependent mass
• Parasupersymmetric quantum mechanics of arbitrary order
• Comment on generalized parasupersymmetric quantum mechanics
• Parasupersymmetry in quantum mechanics
• General forms of a \(N\)-fold supersymmetric family

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