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Spectrum and the trace formula for a two-dimensional Schrödinger operator in a homogeneous magnetic field.

Authors :
Murtazin, Kh.
Fazullin, Z.
Source :
Differential Equations. Apr2009, Vol. 45 Issue 4, p564-579. 16p.
Publication Year :
2009

Abstract

In the space L2(ℝ2), we consider the operator . We study the spectrum of H and, for V ∈ C(ℝ2), prove the trace formula where c0 = π−1 $$ \smallint _{\mathbb{R}^2 } $$ V( x) dx and the µ are the eigenvalues of H. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00122661
Volume :
45
Issue :
4
Database :
Academic Search Index
Journal :
Differential Equations
Publication Type :
Academic Journal
Accession number :
40113869
Full Text :
https://doi.org/10.1134/S0012266109040107