- 98-219 Colin de Verdi{\`e}re, Y.
- La formule de Landau-Zener microlocale
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Mar 23, 98
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Abstract. In our paper, we describe microlocal solutions to a 2-level
system in dimension 1 near an avoided crossing of the eigenvalues.
We derive some formula "a la Landau-Zener" with a uniform complete
asymptotic expansion with respect to the gap size and the Planck constant.
We apply our result to 1D-semi-classical systems of stationnary
Schr{\"o}dinger equations and to time-dependent systems in the adiabatic
limit.
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