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2015 | 13 | 1 |
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
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.
Wydawca

Czasopismo
Rocznik
Tom
13
Numer
1
Opis fizyczny
Daty
otrzymano
2014-08-03
zaakceptowano
2014-12-01
online
2015-02-04
Twórcy
  • 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
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_1515_phys-2015-0021
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