Tunneling effect between radial electric wells in a homogeneous magnetic field

2023/09/27 by Morin, Léo · 2 citations
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2309.15713

Abstract

We establish a tunneling formula for a Schrödinger 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.

Cited by

• Semiclassical tunneling for some 1D Schrödinger operators with complex-valued potentials
• Magnetic Double-Wells: Absence of Tunneling

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