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Bound states of atoms in a homogeneous magnetic field

✍ Scribed by Semjon Vugalter

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 191 KB
Volume: 278
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310282

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✦ Synopsis

Abstract

We consider Schrödinger operators of atoms in a homogeneous magnetic field. We prove that for each fixed value of the pseudomomentum, the corresponding operator has an infinite number of eigenvalues. The asymptotic behaviour of the counting function is studied for values of spectral parameter near the bottom of the essential spectrum. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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