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Supersymmetric quantum mechanics with nonlocal potentials

Je-Young Choi·Seok-In Hong
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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.

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Je-Young Choi, Seok-In Hong. 1999-02-01. Supersymmetric quantum mechanics with nonlocal potentials. https://doi.org/10.1103/physreva.60.796

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