WKB explicit formulae for bound states

Published 29 July 2008 Europhysics Letters Association
, , Citation Giulio Paiano 2008 EPL 83 30013 DOI 10.1209/0295-5075/83/30013

0295-5075/83/3/30013

Abstract

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.

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10.1209/0295-5075/83/30013