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2009-05-26 - Article/Dans un journal avec peer-review - Anglais - 18 page(s)

Silvestre-Brac B., Semay Claude , Buisseret Fabien , "The auxiliary field method and approximate analytical solutions of the Schrödinger equation with exponential potentials" in Journal of Physics : A Mathematical & General, 42, Issue 24, 245301 (18 p.)

  • Edition : Institute of Physics, Bristol (United Kingdom)
  • Codes CREF : Physique théorique et mathématique (DI1210), Mécanique quantique classique et relativiste (DI1211)
  • Unités de recherche UMONS : Physique nucléaire et subnucléaire (S824)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)
Texte intégral :

Abstract(s) :

(Anglais) The auxiliary field method is a new and efficient way to compute approximate analytical eigenenergies of the Schrödinger equation. This method has already been successfully applied to the case of central potentials of power-law and logarithmic forms. In the present work, we show that the Schrödinger equation with exponential potentials of the form -ar^\lambdaexp(-\beta r) can also be analytically solved by using the auxiliary field method. Closed formulae giving the critical heights and the energy levels of these potentials are presented. Special attention is drawn to the Yukawa potential and the pure exponential potential

Identifiants :
  • DOI : 10.1088/1751-8113/42/24/245301
  • arXiv : 0811.0287