Spectral Analysis Of Relativistic Operators

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A01=Alexander Balinsky
A01=William Desmond Evans
Author_Alexander Balinsky
Author_William Desmond Evans
Brown-Ravenhall Operators
Category=PBK
Chandrasekhar-Herbst
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Pauli
Spectral Analysis of Dirac
Zero Modes of Pauli and Weyl-Dirac Operators

Product details

  • ISBN 9781848162181
  • Publication Date: 18 Oct 2010
  • Publisher: Imperial College Press
  • Publication City/Country: GB
  • Product Form: Hardback
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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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