Existence of infinitely many zero-energy states in a model of supersymmetric quantum mechanics

DOI10.1063/1.528337zbMath0669.46039OpenAlexW2072258550MaRDI QIDQ3822703

Asao Arai

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528337

zbMATH Keywords

superchargesindex theorysupersymmetric Hamiltoniannonpolynomial superpotentialsWess-Zumino holomorphic supersymmetric quantum mechanics with polynomial superpotentials

Mathematics Subject Classification ID

General quantum mechanics and problems of quantization (81S99) Miscellaneous applications of functional analysis (46N99)

Related Items (9)

\(N=2\) supersymmetric quantum mechanics on Riemann surfaces with meromorphic superpotentials. ⋮ SOLUTION OF THE DIRAC EQUATION WITH NONCENTRAL THREE-VECTOR POTENTIAL ⋮ On the degeneracy in the ground state of the N=2 Wess–Zumino supersymmetric quantum mechanics ⋮ 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) ⋮ Characterization of degenerate supersymmetric ground states of the Nicolai supersymmetric fermion lattice model by symmetry breakdown

Cites Work

• Dynamical breaking of supersymmetry
• Ground state structure in supersymmetric quantum mechanics
• Supersymmetry and singular perturbations
• Essential self-adjointness of powers of generators of hyperbolic equations
• Supersymmetric quantum mechanics defined as sesquilinear forms

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