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2008-09-22 - Article/Dans un journal avec peer-review - Anglais - 27 page(s)

Silvestre-Brac B., Semay Claude , Buisseret Fabien , "Extensions of the auxiliary field method to solve Schrödinger equations" in Journal of Physics : A Mathematical & General, 41, Issue 42, 425301 (27 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) It has recently been shown that the auxiliary field method is an interesting tool to compute approximate analytical solutions of the Schrödinger equation. This technique can generate the spectrum associated with an arbitrary potential V(r) starting from the analytically known spectrum of a particular potential P(r). In the present work, general important properties of the auxiliary field method are proved, such as scaling laws and independence of the results on the choice of P(r). The method is extended in order to find accurate analytical energy formulae for radial potentials of the form aP(r) + V(r), and several explicit examples are studied. Connections existing between the perturbation theory and the auxiliary field method are also discussed

Identifiants :
  • DOI : 10.1088/1751-8113/41/42/425301
  • arXiv : 0806.2020