s'authentifier
version française rss feed
HAL : in2p3-00258964, version 1

Fiche concise  Récupérer au format
Auxiliary fields as a tool for computing analytical solutions of the Schrödinger equation
Silvestre-Brac B., Semay C., Buisseret F.
Journal of Physics A Mathematical and Theoretical 41 (2008) 275301 - http://hal.in2p3.fr/in2p3-00258964
Physique/Physique Quantique
Auxiliary fields as a tool for computing analytical solutions of the Schrödinger equation
B. Silvestre-Brac1, C. Semay, F. Buisseret
1 :  LPSC - Laboratoire de Physique Subatomique et de Cosmologie
http://lpsc.in2p3.fr
CNRS : UMR5821 – IN2P3 – Université Joseph Fourier - Grenoble I – Institut Polytechnique de Grenoble - Grenoble Institute of Technology
53 avenue des Martyrs - 38026 Grenoble Cedex
France
We propose a new method to obtain approximate solutions for the Schr\"{o}dinger equation with an arbitrary potential that possesses bound states. This method, relying on the auxiliary field technique, allows in many cases to find 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 improve a lot the corresponding formulae that can be found in literature.

Articles dans des revues avec comité de lecture
2008
Journal of Physics A Mathematical and Theoretical
41
275301

LPSC 0823
03.65.Ge
2 figures
Lien vers le texte intégral : 
http://fr.arXiv.org/abs/0802.3601