Spectral Analysis of Relativistic Operators - Softcover

Balinsky, A A

Softcover

ISBN 10: 1848162189 ISBN 13: 9781848162181

Publisher: Imperial College Press, 2010

Synopsis

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.

About this title

Review

"In this very interesting book, the authors give a comprehensive presentation of the study of the spectral properties of various operators which take relativistic effects into account. This book provides historical remarks and comments on developments of the research on the topics discussed. This is very good and important, because it is often time-consuming to trace back previous developments, and because mathematics does not always develop in a logical order." --Mathematical Reviews

Edition details

• Publisher: Imperial College Press
• Publication date: 2010
• Language: English
• ISBN 10: 1848162189
• ISBN 13: 9781848162181
• Binding: Paperback
• Number of pages: 198