Spectral Analysis of Relativistic Operators

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond 2010. Spectral Analysis of Relativistic Operators. London: Imperial College Press.

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Abstract

Over the last decade, there has been considerable interest and progress in determining the spectral properties of various operators that take relativistic effects into account, with important implications for mathematics and physics. Difficulties are encountered in many-particle problems due to the lack of semiboundedness of the Dirac operator, and this has led to the investigation of operators like those of Chandrasekhar–Herbst and Brown–Ravenhall, which are semibounded under appropriate circumstances. This book contains an up-to-date, comprehensive and self-contained analysis of the spectral properties of these operators, providing the tools for anyone working in this area. Another major feature is the work of the authors on zero modes, a topic which has important significance for the stability of matter and other physical problems. Up until now, these topics have been scattered throughout the literature, without a systematic and cohesive treatment. The book will report largely on the progress on these topics published since 1992.

Item Type:	Book
Book Type:	Authored Book
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Imperial College Press
ISBN:	9781848162181
Last Modified:	18 Oct 2022 13:08
URI:	https://orca.cardiff.ac.uk/id/eprint/12490

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