Phys. Rev. A 60, 796 - 799 (1999)

Supersymmetric quantum mechanics with nonlocal potentials

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Je-Young Choi *
Department of Basic Sciences, Youngdong University, Youngdong, Chungbuk 370-701, Korea

Seok-In Hong
Department of Science Education, Inchon National University of Education, Inchon 407-753, Korea

Received 2 November 1998

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.


©1999 The American Physical Society

URL: http://link.aps.org/abstract/PRA/v60/p796
DOI: 10.1103/PhysRevA.60.796
PACS: 03.65.-w, 11.30.Pb

* Electronic address: jychoi@youngdong.ac.kr
Electronic address: sihong@gyeyang.inchon-e.ac.kr

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