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The negative discrete spectrum of a class of two‐dimensional Schrödinger operators with magnetic fields.

Authors :
Laptev, A.
Safronov, O.
Source :
Asymptotic Analysis. Feb2005, Vol. 41 Issue 2, p107-117. 11p.
Publication Year :
2005

Abstract

We obtain an asymptotic formula for the number of negative eigenvalues of a class of two‐dimensional Schrödinger operators with small magnetic fields. This number increases as a coupling constant of the magnetic field tends to zero. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09217134
Volume :
41
Issue :
2
Database :
Academic Search Index
Journal :
Asymptotic Analysis
Publication Type :
Academic Journal
Accession number :
15667418
Full Text :
https://doi.org/10.3233/asy-2005-664