Back to Search Start Over

Tunneling effect between radial electric wells in a homogeneous magnetic field.

Authors :
Morin, Léo
Source :
Letters in Mathematical Physics. Feb2024, Vol. 114 Issue 1, p1-16. 16p.
Publication Year :
2024

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03779017
Volume :
114
Issue :
1
Database :
Academic Search Index
Journal :
Letters in Mathematical Physics
Publication Type :
Academic Journal
Accession number :
175476358
Full Text :
https://doi.org/10.1007/s11005-024-01781-4