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2005-03-15 - Article/Dans un journal avec peer-review - Anglais - 11 page(s)

Brihaye Yves , Nininahazwe A., "Dirac oscillators and quasi-exactly solvable operators" in Modern Physics Letters A, 20, 25, 1875-1885

  • Edition : World Scientific Publishing Company, Singapore (Singapore)
  • Codes CREF : Physique des particules élémentaires (DI1221), Physique théorique et mathématique (DI1210)
  • Unités de recherche UMONS : Physique théorique et mathématique (S814)
Texte intégral :

Abstract(s) :

(Anglais) The Dirac equation is formulated in the background of three types of physically relevant potentials: scalar, vector and "Dirac-oscillator" potentials. Assuming these potentials to be spherically-symmetric and with generic polynomial forms in the radial variable, we construct the corresponding radial Dirac equation. Cases where this linear spectral equation is exactly solvable or quasi-exactly solvable are worked out in details. When available, relations between the radial Dirac operator and some super-algebra are pointed out.

Notes :
  • (Anglais) Lecture en ligne: http://cdsweb.cern.ch/record/827739/files/0503137.pdf
Identifiants :
  • DOI : 10.1142/S0217732305018128