Calogero—Moser— Sutherland Models:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2000
|
| Schriftenreihe: | CRM Series in Mathematical Physics
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In the 1970s F. Calogero and D. Sutherland discovered that for certain potentials in one-dimensional systems, but for any number of particles, the Schrödinger eigenvalue problem is exactly solvable. Until then, there was only one known nontrivial example of an exactly solvable quantum multi-particle problem. J. Moser subsequently showed that the classical counterparts to these models is also amenable to an exact analytical approach. The last decade has witnessed a true explosion of activities involving Calogero-Moser-Sutherland models, and these now play a role in research areas ranging from theoretical physics (such as soliton theory, quantum field theory, string theory, solvable models of statistical mechanics, condensed matter physics, and quantum chaos) to pure mathematics (such as representation theory, harmonic analysis, theory of special functions, combinatorics of symmetric functions, dynamical systems, random matrix theory, and complex geometry). The aim of this volume is to provide an overview of the many branches into which research on CMS systems has diversified in recent years. The contributions are by leading researchers from various disciplines in whose work CMS systems appear, either as the topic of investigation itself or as a tool for further applications |
| Beschreibung: | 1 Online-Ressource (XXV, 561 p) |
| ISBN: | 9781461212065 9781461270430 |
| DOI: | 10.1007/978-1-4612-1206-5 |
Internformat
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| 500 | |a In the 1970s F. Calogero and D. Sutherland discovered that for certain potentials in one-dimensional systems, but for any number of particles, the Schrödinger eigenvalue problem is exactly solvable. Until then, there was only one known nontrivial example of an exactly solvable quantum multi-particle problem. J. Moser subsequently showed that the classical counterparts to these models is also amenable to an exact analytical approach. The last decade has witnessed a true explosion of activities involving Calogero-Moser-Sutherland models, and these now play a role in research areas ranging from theoretical physics (such as soliton theory, quantum field theory, string theory, solvable models of statistical mechanics, condensed matter physics, and quantum chaos) to pure mathematics (such as representation theory, harmonic analysis, theory of special functions, combinatorics of symmetric functions, dynamical systems, random matrix theory, and complex geometry). The aim of this volume is to provide an overview of the many branches into which research on CMS systems has diversified in recent years. The contributions are by leading researchers from various disciplines in whose work CMS systems appear, either as the topic of investigation itself or as a tool for further applications | ||
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Diejen, Jan Felipe |
| author_facet | Diejen, Jan Felipe |
| author_role | aut |
| author_sort | Diejen, Jan Felipe |
| author_variant | j f d jf jfd |
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| dewey-ones | 530 - Physics |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1007/978-1-4612-1206-5 |
| format | Electronic eBook |
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| spelling | Diejen, Jan Felipe Verfasser aut Calogero—Moser— Sutherland Models edited by Jan Felipe Diejen, Luc Vinet New York, NY Springer New York 2000 1 Online-Ressource (XXV, 561 p) txt rdacontent c rdamedia cr rdacarrier CRM Series in Mathematical Physics In the 1970s F. Calogero and D. Sutherland discovered that for certain potentials in one-dimensional systems, but for any number of particles, the Schrödinger eigenvalue problem is exactly solvable. Until then, there was only one known nontrivial example of an exactly solvable quantum multi-particle problem. J. Moser subsequently showed that the classical counterparts to these models is also amenable to an exact analytical approach. The last decade has witnessed a true explosion of activities involving Calogero-Moser-Sutherland models, and these now play a role in research areas ranging from theoretical physics (such as soliton theory, quantum field theory, string theory, solvable models of statistical mechanics, condensed matter physics, and quantum chaos) to pure mathematics (such as representation theory, harmonic analysis, theory of special functions, combinatorics of symmetric functions, dynamical systems, random matrix theory, and complex geometry). The aim of this volume is to provide an overview of the many branches into which research on CMS systems has diversified in recent years. The contributions are by leading researchers from various disciplines in whose work CMS systems appear, either as the topic of investigation itself or as a tool for further applications Physics Theoretical, Mathematical and Computational Physics Vielteilchensystem (DE-588)4063491-7 gnd rswk-swf Exakte Lösung (DE-588)4348289-2 gnd rswk-swf Dimension 1 (DE-588)4323094-5 gnd rswk-swf Integrables System (DE-588)4114032-1 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf Vielteilchentheorie (DE-588)4331960-9 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1997 Montreal gnd-content Vielteilchentheorie (DE-588)4331960-9 s Dimension 1 (DE-588)4323094-5 s Exakte Lösung (DE-588)4348289-2 s DE-604 Quantenmechanisches System (DE-588)4300046-0 s Vielteilchensystem (DE-588)4063491-7 s Integrables System (DE-588)4114032-1 s 2\p DE-604 Vinet, Luc Sonstige oth https://doi.org/10.1007/978-1-4612-1206-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Diejen, Jan Felipe Calogero—Moser— Sutherland Models Physics Theoretical, Mathematical and Computational Physics Vielteilchensystem (DE-588)4063491-7 gnd Exakte Lösung (DE-588)4348289-2 gnd Dimension 1 (DE-588)4323094-5 gnd Integrables System (DE-588)4114032-1 gnd Quantenmechanisches System (DE-588)4300046-0 gnd Vielteilchentheorie (DE-588)4331960-9 gnd |
| subject_GND | (DE-588)4063491-7 (DE-588)4348289-2 (DE-588)4323094-5 (DE-588)4114032-1 (DE-588)4300046-0 (DE-588)4331960-9 (DE-588)1071861417 |
| title | Calogero—Moser— Sutherland Models |
| title_auth | Calogero—Moser— Sutherland Models |
| title_exact_search | Calogero—Moser— Sutherland Models |
| title_full | Calogero—Moser— Sutherland Models edited by Jan Felipe Diejen, Luc Vinet |
| title_fullStr | Calogero—Moser— Sutherland Models edited by Jan Felipe Diejen, Luc Vinet |
| title_full_unstemmed | Calogero—Moser— Sutherland Models edited by Jan Felipe Diejen, Luc Vinet |
| title_short | Calogero—Moser— Sutherland Models |
| title_sort | calogero moser sutherland models |
| topic | Physics Theoretical, Mathematical and Computational Physics Vielteilchensystem (DE-588)4063491-7 gnd Exakte Lösung (DE-588)4348289-2 gnd Dimension 1 (DE-588)4323094-5 gnd Integrables System (DE-588)4114032-1 gnd Quantenmechanisches System (DE-588)4300046-0 gnd Vielteilchentheorie (DE-588)4331960-9 gnd |
| topic_facet | Physics Theoretical, Mathematical and Computational Physics Vielteilchensystem Exakte Lösung Dimension 1 Integrables System Quantenmechanisches System Vielteilchentheorie Konferenzschrift 1997 Montreal |
| url | https://doi.org/10.1007/978-1-4612-1206-5 |
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