Supersymmetry and singular perturbations

DOI10.1016/0022-1236(85)90046-1zbMath0553.46047OpenAlexW2052392669MaRDI QIDQ802118

Asao Arai

Publication date: 1985

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90046-1

zbMATH Keywords

perturbation theorysingular quantum mechanical HamiltoniansSupersymmetric quantum theoryWitten's model

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Perturbation theories for operators and differential equations in quantum theory (81Q15) Singular perturbations for ordinary differential equations (34E15) Miscellaneous applications of functional analysis (46N99)

Related Items (16)

Scaling limit of anticommuting selfadjoint operators and applications to Dirac operators ⋮ On the degeneracy in the ground state of the N=2 Wess–Zumino supersymmetric quantum mechanics ⋮ A supersymmetric generalization of von Neumann’s theorem ⋮ Higher order supersymmetric truncated oscillators ⋮ A criterion for the boundedness from below with a class of symmetric operators and its applications ⋮ A general class of (essentially) iso-spectral perturbations ⋮ New supersymmetry transformations for a graded superfield oscillator ⋮ Constructing solutions of the mKdV-equation ⋮ A general class of infinite dimensional Dirac operators and path integral representation of their index ⋮ Existence of infinitely many zero-energy states in a model of supersymmetric quantum mechanics ⋮ Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons ⋮ Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory ⋮ Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators ⋮ Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold ⋮ Properties of the Dirac–Weyl operator with a strongly singular gauge potentiala) ⋮ Exactly solvable supersymmetric quantum mechanics

Cites Work

• Dynamical breaking of supersymmetry
• Quadratic forms and Klauder's phenomenon: A remark on very singular perturbations
• Supersymmetry and Morse theory
• Singular perturbation potentials
• Essential self-adjointness of powers of generators of hyperbolic equations
• Singular perturbation theory for semibounded operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Supersymmetry and singular perturbations