Volume 41, Number 4, february II 1998
|Page(s)||349 - 354|
|Published online||01 September 2002|
Quantization of the highest levels in a molecular potential
Laboratoire Collisions Agrégats Réactivité, IRSAMC,
Université Paul Sabatier
and CNRS UMR 5589, 118 route de Narbonne
31062 Toulose Cedex, France
Accepted: 8 January 1998
The position of the highest level in a molecular potential is not well described by the usual JWKB quantization formula. This is due to an effect which is the mirror image for bound states of the quantum threshold behaviour for the continuum states. This new effect is described in the present letter and some consequences are briefly discussed. In particular, we discuss the probability distribution of the binding energy of the highest vibrational level and show that its shape is strongly modified.
PACS: 03.65.Ge – Solutions of wave equations: bound states / 32.80.Pj – Optical cooling of atoms; trapping
© EDP Sciences, 1998
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