On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator
(2017) In Journal of Mathematical Analysis and Applications 449(1). p.138-153- Abstract
We complete and improve the results of a recent paper by Ekholm, Kovařík and Portmann in connection with a question of C. Guillarmou about the semiclassical expansion of the lowest eigenvalue of the Pauli operator with Dirichlet conditions. We exhibit connections with the properties of the torsion function in mechanics, the exit time of a Brownian motion and the analysis of the low eigenvalues of some Witten Laplacian.
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- author
- Helffer, Bernard and Persson Sundqvist, Mikael LU
- organization
- publishing date
- 2017
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Dirichlet, Pauli operator, Semiclassical, Torsion
- in
- Journal of Mathematical Analysis and Applications
- volume
- 449
- issue
- 1
- pages
- 138 - 153
- publisher
- Elsevier
- external identifiers
-
- wos:000393148100007
- scopus:85008233263
- ISSN
- 0022-247X
- DOI
- 10.1016/j.jmaa.2016.11.058
- language
- English
- LU publication?
- yes
- id
- 7b3e0eae-62b4-459e-8c95-3e90c218f230
- date added to LUP
- 2017-01-13 11:33:00
- date last changed
- 2025-02-08 22:19:14
@article{7b3e0eae-62b4-459e-8c95-3e90c218f230, abstract = {{<p>We complete and improve the results of a recent paper by Ekholm, Kovařík and Portmann in connection with a question of C. Guillarmou about the semiclassical expansion of the lowest eigenvalue of the Pauli operator with Dirichlet conditions. We exhibit connections with the properties of the torsion function in mechanics, the exit time of a Brownian motion and the analysis of the low eigenvalues of some Witten Laplacian.</p>}}, author = {{Helffer, Bernard and Persson Sundqvist, Mikael}}, issn = {{0022-247X}}, keywords = {{Dirichlet; Pauli operator; Semiclassical; Torsion}}, language = {{eng}}, number = {{1}}, pages = {{138--153}}, publisher = {{Elsevier}}, series = {{Journal of Mathematical Analysis and Applications}}, title = {{On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator}}, url = {{http://dx.doi.org/10.1016/j.jmaa.2016.11.058}}, doi = {{10.1016/j.jmaa.2016.11.058}}, volume = {{449}}, year = {{2017}}, }