Tunneling effect between radial electric wells in a homogeneous magnetic field
Research output: Contribution to journal › Journal article › Research › peer-review
Documents
- Fulltext
Final published version, 325 KB, PDF document
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.
| Original language | English |
|---|---|
| Article number | 29 |
| Journal | Letters in Mathematical Physics |
| Volume | 114 |
| Issue number | 1 |
| Number of pages | 16 |
| ISSN | 0377-9017 |
| DOIs | |
| Publication status | Published - 2024 |
Bibliographical note
Funding Information:
The author thanks Søren Fournais, Bernard Helffer, Ayman Kachmar, and Nicolas Raymond for many enlightening discussions, and for encouraging this work.
Funding Information:
The author states that there is no conflict of interest. This work is funded by the European Union. Views and opinions expressed are however those of the author only and do not necessarily reflect those of the European Union or the European Research Council. Neither the European Union nor the granting authority can be held responsible for them.
Publisher Copyright:
© The Author(s) 2024.
- 35Pxx, 81Q20, Magnetic field, Semiclassical limit, Spectral gap, Tunneling
Research areas
ID: 390513718