Bohr-Sommerfeld phases for avoided crossings

Details Bohr-Sommerfeld phases for avoided crossings Bohr-Sommerfeld phases for avoided crossings

2011-03-08

arxiv.org/abs/1103.1507v1

Physics

Mathematical Physics

Scientific paper

We consider the adiabatic limit in quantum mechanics with several avoided
crossings. We compute the interferences effects uniformly w.r. to the gaps and
the adiabatic parameter. This way we get the asymoptotic expansion of the
global scattering matrix. We use the technics of normal forms introduced in the
paper written with B. Parisse (Commun. Math. Phys. 205 pp. 459--500 (1999)).

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