Spectral analysis of relativistic operators:
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...
Gespeichert in:
| Beteiligte Personen: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
London
Imperial College Press
[2011]
|
| Schlagwörter: | |
| Links: | http://www.worldscientific.com/worldscibooks/10.1142/P566#t=toc https://doi.org/10.1142/P566 https://doi.org/10.1142/P566 |
| Zusammenfassung: | 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 |
| Umfang: | 1 Online-Ressource (xii, 186 S.) |
| ISBN: | 9781848162198 |
| DOI: | 10.1142/P566 |
Internformat
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| 520 | |a 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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Datensatz im Suchindex
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| author | Balinsky, Alexander A. Evans, Emrys 1931- |
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| author_sort | Balinsky, Alexander A. |
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| dewey-full | 515.724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515.724 |
| dewey-sort | 3515.724 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1142/P566 |
| format | Electronic eBook |
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| isbn | 9781848162198 |
| language | English |
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| spelling | Balinsky, Alexander A. Verfasser (DE-588)143306162 aut Spectral analysis of relativistic operators A. A. Balinsky and W. D. Evans London Imperial College Press [2011] 1 Online-Ressource (xii, 186 S.) txt rdacontent c rdamedia cr rdacarrier 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 Operator theory Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Operatortheorie (DE-588)4075665-8 s Spektraltheorie (DE-588)4116561-5 s 1\p DE-604 Evans, Emrys 1931- Verfasser (DE-588)1089171110 aut Erscheint auch als Druck-Ausgabe 1848162189 Erscheint auch als Druck-Ausgabe 9781848162181 https://doi.org/10.1142/P566 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Balinsky, Alexander A. Evans, Emrys 1931- Spectral analysis of relativistic operators Operator theory Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd Operatortheorie (DE-588)4075665-8 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4075665-8 |
| title | Spectral analysis of relativistic operators |
| title_auth | Spectral analysis of relativistic operators |
| title_exact_search | Spectral analysis of relativistic operators |
| title_full | Spectral analysis of relativistic operators A. A. Balinsky and W. D. Evans |
| title_fullStr | Spectral analysis of relativistic operators A. A. Balinsky and W. D. Evans |
| title_full_unstemmed | Spectral analysis of relativistic operators A. A. Balinsky and W. D. Evans |
| title_short | Spectral analysis of relativistic operators |
| title_sort | spectral analysis of relativistic operators |
| topic | Operator theory Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd Operatortheorie (DE-588)4075665-8 gnd |
| topic_facet | Operator theory Spectral theory (Mathematics) Spektraltheorie Operatortheorie |
| url | https://doi.org/10.1142/P566 |
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