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2005-12-10 - Article/Dans un journal avec peer-review - Anglais - 8 page(s)

Brau Fabian , "Upper and lower limits on the eigenvalues of the spinless Salpeter equation" in International Journal of Modern Physics A : Particles & Fields, Gravitation, Cosmology, Nuclear Physics, 20, Issue 30, 7277-7284.

  • Edition : World Scientific Publishing Company, Singapore (Singapore)
  • Codes CREF : Physique théorique et mathématique (DI1210), Mécanique quantique classique et relativiste (DI1211)
  • Unités de recherche UMONS : Laboratoire Interfaces et Fluides complexes (S885)
Texte intégral :

Abstract(s) :

(Anglais) In the context of relativistic quantum mechanics, we obtain a nonlinear first order differential equation for the energy as a function of the coupling constant of a central potential. This differential equation is only exact for power law and logarithmic potentials in the massless limit. For other potentials, we discuss under which conditions the differential equation yields rigorous upper and lower limits on the value of energy levels. These results are applied to the Cornell potential used in meson spectroscopy. We also show that the method applies to noncentral potentials.

Identifiants :
  • DOI : 10.1142/S0217751X05022883