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Abstract

We develop a microlocal study for scalar classical analytic pseudo-differential operators of principal type. Next, we reduce a system of pseudo-differential operators to the normal form. Then we obtain asymptotic expansion and the exact exponential decay rate for the width of resonances arising from microlocal tunneling effect.

Keywords

BKW analytic pseudo-differential operator microlocal analysis asymptotic resonances

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Asymptotic expansion for the widths of resonances in Born–Oppenheimer approximation

Abstract

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