Tunneling effect between radial electric wells in a homogeneous magnetic field

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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.

OriginalsprogEngelsk
Artikelnummer29
TidsskriftLetters in Mathematical Physics
Vol/bind114
Udgave nummer1
Antal sider16
ISSN0377-9017
DOI
StatusUdgivet - 2024

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