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