Spectral Analysis of Relativistic Operators by W.D. Evans

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Author
W.D. Evans
Publisher
Imperial College Press
Date of release
Pages
300
ISBN
9781848162181
Binding
Hardcover
Illustrations
Format
PDF, EPUB, MOBI, TXT, DOC
Rating
4
66

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Spectral Analysis of Relativistic Operators

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Book review

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.


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