On the essential spectrum of electromagnetic Schrödinger operator with singular electric potential

We consider the multidimensional electromagnetic Schrödinger operator with singular electric potential. Under certain conditions on the magnetic field and electric potential, we prove that the essential spectrum of the operator fills the positive semi-axis.

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Bibliographic Details
Published in:Complex variables and elliptic equations 2014-01, Vol.59 (1), p.18-27
Main Authors: Aliev, A.R., Eyvazov, E.H.
Format: Article
Language:English
Subjects:
absolute spectrum
Complex variables
electromagnetic Schrödinger operator
essential spectrum
quantum mechanics
self-adjoint operator
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Description
Summary:We consider the multidimensional electromagnetic Schrödinger operator with singular electric potential. Under certain conditions on the magnetic field and electric potential, we prove that the essential spectrum of the operator fills the positive semi-axis.
ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2012.697460