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arXiv · 2407.03747

An Example Of Accurate Microlocal Tunneling In One Dimension

Antide Duraffour·Nicolas Raymond
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Abstract

We investigate the spectral analysis of a class of pseudo-differential operators 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 Schr{\"o}dinger operator.

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Antide Duraffour, Nicolas Raymond. 2024-07-04. An Example Of Accurate Microlocal Tunneling In One Dimension. https://doi.org/10.4310/mrl.251124003109

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