UNSTABLE EQUILIBRIUM IN SEMICLASSICAL APP ROXIMATION .2. BOHR-SOMMERFELD CONDITIONS

Authors
DEVERDIERE YC PARISSE E
Citation
Yc. Deverdiere et E. Parisse, UNSTABLE EQUILIBRIUM IN SEMICLASSICAL APP ROXIMATION .2. BOHR-SOMMERFELD CONDITIONS, Annales de l'I.H.P. Physique theorique, 61(3), 1994, pp. 347-367
Citations number
10
Categorie Soggetti
Physics
Journal title
Annales de l'I.H.P. Physique theorique → ACNP
ISSN journal
02460211
Volume
61
Issue
3
Year of publication
1994
Pages
347 - 367
Database
ISI
SICI code
0246-0211(1994)61:3<347:UEISAR>2.0.ZU;2-6
Abstract
In this article, we study the eigenvalues of the one dimensional Schro dinger operator which are located near a local maximum of the potentia l. This work completes [2], where we studied the microlocal concentrat ion of the corresponding eigenfunctions. For the particular case of th e symmetric double-well potential, we describe the transition zone bet ween pairs of exponentially close eigenvalues (parity doublets) and re gularly spaced eigenvalues as the energy grows.