Semi-classical analysis of a conjoint crossing of three symmetric modes
Analysis of PDEs
2009-07-01 v2 Mathematical Physics
math.MP
Abstract
In this article we focus on a semiclassical Schr\"odinger 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.
Keywords
Cite
@article{arxiv.0904.0211,
title = {Semi-classical analysis of a conjoint crossing of three symmetric modes},
author = {Clotilde Fermanian-Kammerer and Vidian Rousse},
journal= {arXiv preprint arXiv:0904.0211},
year = {2009}
}
Comments
4 figures