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Propagation of Wigner measures and degenerated codimension 1 crossings. (Propagation des mesures de Wigner à travers un croisement de codimension 1 dégénéré.) (French) Zbl 1178.35148

The seminar presents some joint work of the author with T. Dyckaert and T. Jecko about the semi-classical Schrödinger operator \(P(\epsilon)=-\epsilon \Delta +V\), where the potential is a self-adjoint matrix. It is devoted to certain properties of the Wigner measures associated to a family of solutions of \(P(\epsilon)\psi^\epsilon=0\).

MSC:

35J10 Schrödinger operator, Schrödinger equation
35Q40 PDEs in connection with quantum mechanics
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
81S30 Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics
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