Volume 83, Number 3, August 2008
Article Number 30013
Number of page(s) 5
Section General
Published online 29 July 2008
EPL, 83 (2008) 30013
DOI: 10.1209/0295-5075/83/30013

WKB explicit formulae for bound states

Giulio Paiano

Dipartimento di Fisica "Michelangelo Merlin", Università di Bari - via Amendola 173, 70126 Bari, Italy, EU and INFN, Sezione di Bari - Bari, Italy, EU

received 14 February 2008; accepted in final form 20 June 2008; published August 2008
published online 29 July 2008

The radial Schrödinger equation with a central potential is discussed and the pertinent WKB integral is cast in a more convenient form to extract closed formulae for the eigenvalues. These can be deduced in several interesting cases and are of asymptotic nature, i.e. they hold when one of the two quantum numbers appearing in the equation tends to infinity.

03.65.Ge - Solutions of wave equations: bound states.
03.65.Sq - Semiclassical theories and applications.

© EPLA 2008