Tunneling effect between radial electric wells in a homogeneous magnetic field

Léo Morin

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arXiv · 2309.15713

Tunneling effect between radial electric wells in a homogeneous magnetic field

Léo Morin

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Abstract

We establish a tunneling formula for a Schr\"odinger operator with symmetric double-well potential and homogeneous magnetic field, in dimension two. Each well is assumed to be radially symmetric and compactly supported. We obtain an asymptotic formula for the difference between the two first eigenvalues of this operator, that is exponentially small in the semiclassical limit.

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Léo Morin. 2023-09-27. Tunneling effect between radial electric wells in a homogeneous magnetic field. https://arxiv.org/abs/2309.15713

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