Supersymmetric quantum mechanics with nonlocal potentials

Details Supersymmetric quantum mechanics with nonlocal potentials Supersymmetric quantum mechanics with nonlocal potentials

1998-11-10

arxiv.org/abs/quant-ph/9811024v2

Phys.Rev. A60 (1999) 796

Physics

Quantum Physics

4 pages, REVTeX, Minor revisions for clarification

Scientific paper

10.1103/PhysRevA.60.796

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.

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