Open Access
June 2010 Semi-classical Analysis of a Conjoint Crossing of Three Symmetric Modes
Clotilde Fermanian Kammerer, Vidian Rousse
Methods Appl. Anal. 17(2): 137-164 (June 2010).


In this article we focus on a semiclassical Schrödinger equation with matrix-valued potential presenting a symmetric conjoint crossing of three eigenvalues. The potential we consider is well-known in the chemical literature as a pseudo Jahn-Teller potential. We analyze the energy transfers which occur between the three modes in terms of Wigner measures.


Download Citation

Clotilde Fermanian Kammerer. Vidian Rousse. "Semi-classical Analysis of a Conjoint Crossing of Three Symmetric Modes." Methods Appl. Anal. 17 (2) 137 - 164, June 2010.


Published: June 2010
First available in Project Euclid: 21 February 2011

zbMATH: 1222.35159
MathSciNet: MR2763574

Primary: 35Q40
Secondary: 35B27 , 81Q20

Keywords: Born-Oppenheimer approximation , eigenvalue crossings , Schrödinger equation , Semi-classical analysis , Wigner measures

Rights: Copyright © 2010 International Press of Boston

Vol.17 • No. 2 • June 2010
Back to Top