Bohr-Sommerfeld phases for avoided crossings
Mathematical Physics
2011-03-09 v1 math.MP
Abstract
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)).
Keywords
Cite
@article{arxiv.1103.1507,
title = {Bohr-Sommerfeld phases for avoided crossings},
author = {Yves Colin De Verdière},
journal= {arXiv preprint arXiv:1103.1507},
year = {2011}
}