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

✍ Scribed by Kh. Kh. Murtazin; Z. Yu. Fazullin

Book ID: 110158541
Publisher: Springer
Year: 2009
Tongue: English
Weight: 428 KB
Volume: 45
Category: Article
ISSN: 0012-2661
DOI: 10.1134/s0012266109040107

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## Abstract The spectrum of the two‐dimensional Schrödinger operator with strong magnetic field and electric potential is contained in a union of intervals centered on the Landau levels. The study of the spectrum in any of these intervals is reduced by unitary equivalence to the study of a one‐dime