Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-11-25
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We study the Schrödinger operator with a constant magnetic field in the exterior of a compact domain in ℝ2d, d≥1.
The spectrum of this operator consists of clusters of eigenvalues around the Landau levels.
We give asymptotic formulas for the rate of accumulation of eigenvalues in these clusters.
When the compact is a Reinhardt domain we are able to show a more precise asymptotic formula.
American Psychological Association (APA)
Persson, Mikael. 2008. Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian. Advances in Mathematical Physics،Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-505222
Modern Language Association (MLA)
Persson, Mikael. Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian. Advances in Mathematical Physics No. 2009 (2009), pp.1-15.
https://search.emarefa.net/detail/BIM-505222
American Medical Association (AMA)
Persson, Mikael. Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian. Advances in Mathematical Physics. 2008. Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-505222
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505222
