Supersymmetry in quantum mechanics with point interactions
arXiv:hep-th/0212192 · doi:10.1016/S0370-2693(03)00575-6
Abstract
We investigate supersymmetry in one-dimensional quantum mechanics with point interactions. We clarify a class of point interactions compatible with supersymmetry and present N=2 supersymmetric models on a circle with two point interactions as well as a superpotential. A hidden su(2) structure inherent in the system plays a crucial role to construct the N=2 supercharges. Spontaneous breaking of supersymmetry due to point interactions and an extension to higher N-extended supersymmetry are also discussed.
12 pages, no figures. Some sections are improved and new references are added
References in corpus (2)
Cited by in corpus (17)
- Quark mass hierarchy and mixing via geometry of extra dimension with point interactions
- Self-adjoint extensions and SUSY breaking in Supersymmetric Quantum Mechanics
- Supersymmetry in gauge theories with extra dimensions
- Supersymmetry in 5d Gravity
- phase from twisted Higgs vacuum expectation value in extra dimension
- Supersymmetry and discrete transformations on S^1 with point singularities
- Spectral properties on a circle with a singularity
- Realization of lepton masses and mixing angles from point interactions in an extra dimension
- Extended supersymmetry and its reduction on a circle with point singularities
- Effects of Two Successive Parity-Invariant Point Interactions on One-Dimensional Quantum Transmission: Resonance Conditions for the Parameter Space
- Non-Abelian Monopole in the Parameter Space of Point-like Interactions
- Resonant Transmission in One-Dimensional Quantum Mechanics with Two Independent Point Interactions: Full Parameter Analysis
- Hierarchy of QM SUSYs on a Bounded Domain
- Supersymmetric Descendants of Self-Adjointly Extended Quantum Mechanical Hamiltonians
- 5d Dirac fermion on quantum graph
- Parasupersymmetry in Quantum Graphs
- Supersymmetry and non-Abelian geometric phase for a free particle on a circle with point-like interactions