On the Semiclassical Analysis of the Ground State Energy of the Dirichlet Pauli Operator in Non-Simply Connected Domains
(2017) In Journal of Mathematical Sciences p.531-544- Abstract
We consider the Dirichlet Pauli operator in bounded connected domains in the plane, with a semiclassical parameter. We show that the ground state energy of the Pauli operator is exponentially small as the semiclassical parameter tends to zero and estimate the decay rate. This extends our recent results discussing a recent paper by Ekholm–Kovařík–Portmann, including non-simply connected domains.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/8c3aeb99-899f-4b65-9128-6fb6e87d404b
- author
- Helffer, Bernard and Persson Sundqvist, M. LU
- organization
- publishing date
- 2017-09-18
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Mathematical Sciences
- pages
- 14 pages
- publisher
- Springer
- external identifiers
-
- scopus:85029754182
- ISSN
- 1072-3374
- DOI
- 10.1007/s10958-017-3546-6
- language
- English
- LU publication?
- yes
- id
- 8c3aeb99-899f-4b65-9128-6fb6e87d404b
- date added to LUP
- 2017-09-29 09:33:47
- date last changed
- 2022-02-14 22:10:23
@article{8c3aeb99-899f-4b65-9128-6fb6e87d404b, abstract = {{<p>We consider the Dirichlet Pauli operator in bounded connected domains in the plane, with a semiclassical parameter. We show that the ground state energy of the Pauli operator is exponentially small as the semiclassical parameter tends to zero and estimate the decay rate. This extends our recent results discussing a recent paper by Ekholm–Kovařík–Portmann, including non-simply connected domains.</p>}}, author = {{Helffer, Bernard and Persson Sundqvist, M.}}, issn = {{1072-3374}}, language = {{eng}}, month = {{09}}, pages = {{531--544}}, publisher = {{Springer}}, series = {{Journal of Mathematical Sciences}}, title = {{On the Semiclassical Analysis of the Ground State Energy of the Dirichlet Pauli Operator in Non-Simply Connected Domains}}, url = {{http://dx.doi.org/10.1007/s10958-017-3546-6}}, doi = {{10.1007/s10958-017-3546-6}}, year = {{2017}}, }