The interplay of supersymmetry and PT symmetry in quantum mechanics: a case study for the Scarf II potential

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F02%3A00185646" target="_blank" >RIV/61389005:_____/02:00185646 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
The interplay of supersymmetry and PT symmetry in quantum mechanics: a case study for the Scarf II potential
Original language description
Motivated by the duality of normalizable states and the presence of the quasiparity quantum number q = ń1 in PT symmetric (non-Hermitian) quantum mechanical potential models, the relation of PT symmetry and supersymmetry (SUSY) is studied. As an illustrative example, the PT invariant version of the Scarf II potential is presented, and it is shown that the `bosonic` Hamiltonian has two different `fermionic` SUSY partner Hamiltonians (potentials) generated from the ground-state solutions with q = -1. It is shown that the `fermionic` potentials cease to be PT invariant when the PT symmetry of the `bosonic` potential is spontaneously broken.
Czech name
Souhra supersymetrie a PT-symetrie v kvantové mechanice: potenciál Scarf II
Czech description
Souhra supersymetrie a PT-symetrie v kvantové mechanice: potenciál Scarf II

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/IAA1048004" target="_blank" >IAA1048004: New methods inperturbation theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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