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2015 | 13 | 1 |
Article title

SUSY partners for spin-1/2 systems in nonrelativistic limits

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EN
Abstracts
EN
In this paper, we use some well-known techniques
of Supersymmetric QuantumMechanics (SUSYQM)
namely the factorization method and shape invariance,
to generate new analytically solvable potentials from
some interacting fermionic models in nonrelativistic limits.
These systems are described by the ordinary and the
harmonically trapped Schrödinger-Pauli particle models
and the Dirac-Coulomb Hamiltonian, this latter being set
in its nonrelativistic limits. The spectrum for each of these
models is obtained in a simple and transparent way. We
then generate new solvable potentials that describe interactions
between electromagnetic field and matter, paying
due attention to the subtleties inherent in the application
of SUSY to higher dimensional problems. SUSY breaking
problems related to the partner singularities are dicussed
along with the paper.
Publisher

Journal
Year
Volume
13
Issue
1
Physical description
Dates
accepted
1 - 12 - 2014
received
3 - 8 - 2014
online
4 - 2 - 2015
Contributors
  • Unité de Recherche en Physique Théorique
    (URPT), Institut de Mathématiques et de Sciences Physiques (IMSP),
    01 B.P. 613 Porto-Novo, Rep. du Bénin
  • Unité de Recherche en Physique Théorique
    (URPT), Institut de Mathématiques et de Sciences Physiques (IMSP),
    01 B.P. 613 Porto-Novo, Rep. du Bénin
  • Département de Physique, Faculté des
    Sciences et Techniques (FAST), Université d’Abomey-Calavi (UAC),
    Rep. du Bénin
  • Département de Physique, Faculté des
    Sciences et Techniques (FAST), Université d’Abomey-Calavi (UAC),
    Rep. du Bénin
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_1515_phys-2015-0021
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