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2008-06-12 - Article/Dans un journal avec peer-review - Anglais - 16 page(s)

Silvestre-Brac B., Semay Claude , Buisseret Fabien , "Auxiliary fields as a tool for computing analytical solutions of the Schrödinger equation" in Journal of Physics : A Mathematical & General, 41, Issue 27, 275301 (16 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) We propose a new method to obtain approximate solutions for the Schrödinger equation with an arbitrary potential that possesses bound states. This method, relying on the auxiliary field technique, allows to find in many cases, analytical solutions. It offers a convenient way to study the qualitative features of the energy spectrum of bound states in any potential. In particular, we illustrate our method by solving the case of central potentials with power-law form and with logarithmic form. For these types of potentials, we propose very accurate analytical energy formulae which greatly improves the corresponding formulae that can be found in the literature

Identifiants :
  • arXiv : 0802.3601
  • DOI : 10.1088/1751-8113/41/27/275301