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On the Semiclassical Analysis of the Ground State Energy of the Dirichlet Pauli Operator in Non-Simply Connected Domains

Helffer, Bernard and Persson Sundqvist, M. LU (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.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Mathematical Sciences
pages
14 pages
publisher
Springer
external identifiers
  • scopus:85029576462
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
2018-01-07 12:20:01
@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},
  year         = {2017},
}