On the essential spectrum of magnetic Schrödinger operators in exterior domains
(2013) In Arabic Journal of Mathematical Sciences 19(2). p.217-222- Abstract
- We establish equality between the essential spectrum of the Schrödinger operator with magnetic field in the exterior of a compact arbitrary dimensional domain and that of the operator defined in all the space, and discuss applications of this equality.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4221762
- author
- Kachmar, Ayman and Persson Sundqvist, Mikael LU
- organization
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Spectral theory, Elliptic partial differential equations, Essential spectrum
- in
- Arabic Journal of Mathematical Sciences
- volume
- 19
- issue
- 2
- pages
- 217 - 222
- publisher
- Elsevier
- external identifiers
-
- scopus:84937045296
- ISSN
- 1319-5166
- DOI
- 10.1016/j.ajmsc.2012.09.005
- language
- English
- LU publication?
- yes
- id
- 6bd87db5-8b2a-41b4-a55a-a8ea608e946d (old id 4221762)
- date added to LUP
- 2016-04-01 13:26:29
- date last changed
- 2022-03-29 07:30:51
@article{6bd87db5-8b2a-41b4-a55a-a8ea608e946d, abstract = {{We establish equality between the essential spectrum of the Schrödinger operator with magnetic field in the exterior of a compact arbitrary dimensional domain and that of the operator defined in all the space, and discuss applications of this equality.}}, author = {{Kachmar, Ayman and Persson Sundqvist, Mikael}}, issn = {{1319-5166}}, keywords = {{Spectral theory; Elliptic partial differential equations; Essential spectrum}}, language = {{eng}}, number = {{2}}, pages = {{217--222}}, publisher = {{Elsevier}}, series = {{Arabic Journal of Mathematical Sciences}}, title = {{On the essential spectrum of magnetic Schrödinger operators in exterior domains}}, url = {{http://dx.doi.org/10.1016/j.ajmsc.2012.09.005}}, doi = {{10.1016/j.ajmsc.2012.09.005}}, volume = {{19}}, year = {{2013}}, }