Supersymmetric quantum mechanics with nonlocal potentials

Abstract

We consider supersymmetric quantum mechanical models with both local and nonlocal potentials. We present a nonlocal deformation of exactly solvable local models. Its energy eigenfunctions and eigenvalues are determined exactly. We observe that both our model Hamiltonian and its supersymmetric partner may have normalizable zero-energy ground states, in contrast to local models with nonperiodic or periodic potentials.

4 pages, REVTeX, Minor revisions for clarification

References in corpus (4)

• Self-Isospectral Periodic Potentials and Supersymmetric Quantum Mechanics
• Supersymmetry, Shape Invariance and Solvability of $A_{N-1}$ and $B{C}_N$ Calogero-Sutherland Model
• Green's Function for Nonlocal Potentials
• Supersymmetry Breaking with Periodic Potentials

Cited by in corpus (1)

• A Generalized Jaynes-Cummings Hamiltonian and Supersymmetric Shape-Invariance