Spectral estimates for magnetic operators

Melgaard, Michael and Rozenblum, Gregory V (1996) Spectral estimates for magnetic operators. Mathematica Scandinavica, 79. pp. 237-254. ISSN 0025-5521

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Abstract

The well-known CLR-estimate for the number of negative eigenvalues of the Schrödinger operator $-\Delta+V$ is generalized to a class of second order magnetic operators,
generalizing the magnetic Schrödinger operator. The cofficients in the magnetic operators are variable, they may be nonsmooth, unbounded and some degeneration is allowed.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
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Depositing User: Michael Melgaard
Date Deposited: 19 Sep 2013 14:32
Last Modified: 19 Sep 2013 14:32
URI: http://sro.sussex.ac.uk/id/eprint/46405
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