AN EXAMPLE OF ACCURATE MICROLOCAL TUNNELING IN ONE DIMENSION
Résumé
We investigate the spectral analysis of a class of pseudo-differential opera-
tors in one dimension. Under symmetry assumptions, we prove an asymptotic formula
for the splitting of the first two eigenvalues. This article is a first example of extension
to pseudo-differential operators of the tunneling effect formulas known for the symmetric
electric Schrödinger operator.
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