What Is Integrability?:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1991
|
| Schriftenreihe: | Springer Series in Nonlinear Dynamics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The idea of devoting a complete book to this topic was born at one of the Workshops on Nonlinear and Turbulent Processes in Physics taking place reg ularly in Kiev. With the exception of E. D. Siggia and N. Ercolani, all authors of this volume were participants at the third of these workshops. All of them were acquainted with each other and with each other's work. Yet it seemed to be somewhat of a discovery that all of them were and are trying to understand the same problem - the problem of integrability of dynamical systems, primarily Hamiltonian ones with an infinite number of degrees of freedom. No doubt that they (or to be more exact, we) were led to this by the logical process of scientific evolution which often leads to independent, almost simultaneous discoveries. Integrable, or, more accurately, exactly solvable equations are essential to theoretical and mathematical physics. One could say that they constitute the "mathematical nucleus" of theoretical physics whose goal is to describe real clas sical or quantum systems. For example, the kinetic gas theory may be considered to be a theory of a system which is trivially integrable: the system of classical noninteracting particles. One of the main tasks of quantum electrodynamics is the development of a theory of an integrable perturbed quantum system, namely, noninteracting electromagnetic and electron-positron fields |
| Beschreibung: | 1 Online-Ressource (XIV, 321p. 1 illus) |
| ISBN: | 9783642887031 9783642887055 |
| ISSN: | 0940-2535 |
| DOI: | 10.1007/978-3-642-88703-1 |
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Datensatz im Suchindex
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| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-3-642-88703-1 |
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| issn | 0940-2535 |
| language | English |
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| spelling | Zakharov, Vladimir E. Verfasser aut What Is Integrability? edited by Vladimir E. Zakharov Berlin, Heidelberg Springer Berlin Heidelberg 1991 1 Online-Ressource (XIV, 321p. 1 illus) txt rdacontent c rdamedia cr rdacarrier Springer Series in Nonlinear Dynamics 0940-2535 The idea of devoting a complete book to this topic was born at one of the Workshops on Nonlinear and Turbulent Processes in Physics taking place reg ularly in Kiev. With the exception of E. D. Siggia and N. Ercolani, all authors of this volume were participants at the third of these workshops. All of them were acquainted with each other and with each other's work. Yet it seemed to be somewhat of a discovery that all of them were and are trying to understand the same problem - the problem of integrability of dynamical systems, primarily Hamiltonian ones with an infinite number of degrees of freedom. No doubt that they (or to be more exact, we) were led to this by the logical process of scientific evolution which often leads to independent, almost simultaneous discoveries. Integrable, or, more accurately, exactly solvable equations are essential to theoretical and mathematical physics. One could say that they constitute the "mathematical nucleus" of theoretical physics whose goal is to describe real clas sical or quantum systems. For example, the kinetic gas theory may be considered to be a theory of a system which is trivially integrable: the system of classical noninteracting particles. One of the main tasks of quantum electrodynamics is the development of a theory of an integrable perturbed quantum system, namely, noninteracting electromagnetic and electron-positron fields Physics Statistical Physics, Dynamical Systems and Complexity Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd rswk-swf Differentialgleichungssystem (DE-588)4121137-6 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Integrierbare Funktion (DE-588)4253333-8 gnd rswk-swf Integrables System (DE-588)4114032-1 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 s Integrables System (DE-588)4114032-1 s DE-604 Integrierbare Funktion (DE-588)4253333-8 s Differentialgleichungssystem (DE-588)4121137-6 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 https://doi.org/10.1007/978-3-642-88703-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Zakharov, Vladimir E. What Is Integrability? Physics Statistical Physics, Dynamical Systems and Complexity Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd Differentialgleichungssystem (DE-588)4121137-6 gnd Mathematische Physik (DE-588)4037952-8 gnd Integrierbare Funktion (DE-588)4253333-8 gnd Integrables System (DE-588)4114032-1 gnd |
| subject_GND | (DE-588)4128900-6 (DE-588)4121137-6 (DE-588)4037952-8 (DE-588)4253333-8 (DE-588)4114032-1 (DE-588)4143413-4 |
| title | What Is Integrability? |
| title_auth | What Is Integrability? |
| title_exact_search | What Is Integrability? |
| title_full | What Is Integrability? edited by Vladimir E. Zakharov |
| title_fullStr | What Is Integrability? edited by Vladimir E. Zakharov |
| title_full_unstemmed | What Is Integrability? edited by Vladimir E. Zakharov |
| title_short | What Is Integrability? |
| title_sort | what is integrability |
| topic | Physics Statistical Physics, Dynamical Systems and Complexity Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd Differentialgleichungssystem (DE-588)4121137-6 gnd Mathematische Physik (DE-588)4037952-8 gnd Integrierbare Funktion (DE-588)4253333-8 gnd Integrables System (DE-588)4114032-1 gnd |
| topic_facet | Physics Statistical Physics, Dynamical Systems and Complexity Nichtlineare partielle Differentialgleichung Differentialgleichungssystem Mathematische Physik Integrierbare Funktion Integrables System Aufsatzsammlung |
| url | https://doi.org/10.1007/978-3-642-88703-1 |
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