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Spectrum and the trace formula for a two-dimensional Schrödinger operator in a homogeneous magnetic field.
- 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]
- Subjects :
- *TRACE formulas
*SCHRODINGER operator
*MAGNETIC fields
*INTEGRAL calculus
*ALGEBRA
Subjects
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