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On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator

Helffer, Bernard and Persson Sundqvist, Mikael LU (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
organization
publishing date
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
  • scopus:85008233263
  • wos:000393148100007
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
2018-01-07 11:44:56
@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},
  keyword      = {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},
  volume       = {449},
  year         = {2017},
}