On the degeneracy in the ground state of the N=2 Wess–Zumino supersymmetric quantum mechanics

DOI10.1063/1.528485zbMath0701.46056OpenAlexW2157789988MaRDI QIDQ3479045

Asao Arai

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528485

zbMATH Keywords

coupling constantsupersymmetric quantum mechanical modelgeneralized eigenfunctionsbosonic statesstrongly continuous one parameter unitary group

Mathematics Subject Classification ID

Supersymmetry and quantum mechanics (81Q60) Applications of functional analysis in quantum physics (46N50) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (6)

Berry phase and supersymmetric topological index ⋮ Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory ⋮ Spectral analysis of a Dirac operator with a meromorphic potential ⋮ Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators ⋮ Existence and structure of infinitely degenerate zero-energy ground states of a Wess–Zumino-type model in supersymmetric quantum mechanics ⋮ Properties of the Dirac–Weyl operator with a strongly singular gauge potentiala)

Cites Work

• Ground state structure in supersymmetric quantum mechanics
• Supersymmetry and singular perturbations
• Index of a family of Dirac operators on loop space
• Supersymmetric quantum mechanics defined as sesquilinear forms
• Existence of infinitely many zero-energy states in a model of supersymmetric quantum mechanics

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