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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
physics and astronomy
Supersymmetric descendants of self-adjointly extended quantum mechanical Hamiltonians
Annals of Physics, Volume 337, Year 2013
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Description
We consider the descendants of self-adjointly extended Hamiltonians in supersymmetric quantum mechanics on a half-line, on an interval, and on a punctured line or interval. While there is a 4-parameter family of self-adjointly extended Hamiltonians on a punctured line, only a 3-parameter sub-family has supersymmetric descendants that are themselves self-adjoint. We also address the self-adjointness of an operator related to the supercharge, and point out that only a sub-class of its most general self-adjoint extensions is physical. Besides a general characterization of self-adjoint extensions and their supersymmetric descendants, we explicitly consider concrete examples, including a particle in a box with general boundary conditions, with and without an additional point interaction. We also discuss bulk-boundary resonances and their manifestation in the supersymmetric descendant. © 2013 Elsevier Inc.
Authors & Co-Authors
Al-Hashimi, Munir H.K.
Switzerland, Bern
University of Bern
Salman, M.
Qatar, Doha
Qatar University
Shalaby, Abouzeid M.
Qatar, Doha
Qatar University
Egypt, Mansoura
Faculty of Science
Wiese, Uwe Jens
Switzerland, Bern
University of Bern
United States, Cambridge
Center for Theoretical Physics
Statistics
Citations: 5
Authors: 4
Affiliations: 4
Identifiers
Doi:
10.1016/j.aop.2013.06.002
ISSN:
00034916
e-ISSN:
1096035X