Quantum Theory and Its Stochastic Limit:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2002
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| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The subject of this book is a new mathematical technique, the stochastic limit developed for solving nonlinear problems in quantum theory involving systems with infinitely many degrees of freedom (typically quantum fields or gases in the thermodynamic limit). This technique is condensed into some easily applied rules (called "stochastic golden rules") which allow to single out the dominating contributions to the dynamical evolution of systems in regimes involving long times and small effects. In the stochastic limit the original Hamiltonian theory is approximated using a new Hamiltonian theory which is singular. These singular Hamiltonians still define a unitary evolution and the new equations give much more insight into the relevant physical phenomena than the original Hamiltonian equations. Especially, one can explicitly compute multi-time correlations (e.g. photon statistics) or coherent vectors, which are beyond the reach of typical asymptotic techniques as well as deduce in the Hamiltonian framework the widely used stochastic Schrödinger equation and the master equation. This monograph is well suited as a textbook in the emerging field of stochastic limit techniques in quantum theory |
| Physical Description: | 1 Online-Ressource (XX, 474 p) |
| ISBN: | 9783662049297 9783642075438 |
| DOI: | 10.1007/978-3-662-04929-7 |
Staff View
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| spelling | Accardi, Luigi Verfasser aut Quantum Theory and Its Stochastic Limit by Luigi Accardi, Igor Volovich, Yun Gang Lu Berlin, Heidelberg Springer Berlin Heidelberg 2002 1 Online-Ressource (XX, 474 p) txt rdacontent c rdamedia cr rdacarrier The subject of this book is a new mathematical technique, the stochastic limit developed for solving nonlinear problems in quantum theory involving systems with infinitely many degrees of freedom (typically quantum fields or gases in the thermodynamic limit). This technique is condensed into some easily applied rules (called "stochastic golden rules") which allow to single out the dominating contributions to the dynamical evolution of systems in regimes involving long times and small effects. In the stochastic limit the original Hamiltonian theory is approximated using a new Hamiltonian theory which is singular. These singular Hamiltonians still define a unitary evolution and the new equations give much more insight into the relevant physical phenomena than the original Hamiltonian equations. Especially, one can explicitly compute multi-time correlations (e.g. photon statistics) or coherent vectors, which are beyond the reach of typical asymptotic techniques as well as deduce in the Hamiltonian framework the widely used stochastic Schrödinger equation and the master equation. This monograph is well suited as a textbook in the emerging field of stochastic limit techniques in quantum theory Physics Distribution (Probability theory) Quantum theory Quantum Physics Quantum Information Technology, Spintronics Probability Theory and Stochastic Processes Quantentheorie Stochastik (DE-588)4121729-9 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Quantentheorie (DE-588)4047992-4 s Stochastischer Prozess (DE-588)4057630-9 s 1\p DE-604 Quantenmechanik (DE-588)4047989-4 s Stochastik (DE-588)4121729-9 s 2\p DE-604 Volovich, Igor Sonstige oth Lu, Yun Gang Sonstige oth https://doi.org/10.1007/978-3-662-04929-7 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 | Accardi, Luigi Quantum Theory and Its Stochastic Limit Physics Distribution (Probability theory) Quantum theory Quantum Physics Quantum Information Technology, Spintronics Probability Theory and Stochastic Processes Quantentheorie Stochastik (DE-588)4121729-9 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Quantenmechanik (DE-588)4047989-4 gnd Quantentheorie (DE-588)4047992-4 gnd |
| subject_GND | (DE-588)4121729-9 (DE-588)4057630-9 (DE-588)4047989-4 (DE-588)4047992-4 |
| title | Quantum Theory and Its Stochastic Limit |
| title_auth | Quantum Theory and Its Stochastic Limit |
| title_exact_search | Quantum Theory and Its Stochastic Limit |
| title_full | Quantum Theory and Its Stochastic Limit by Luigi Accardi, Igor Volovich, Yun Gang Lu |
| title_fullStr | Quantum Theory and Its Stochastic Limit by Luigi Accardi, Igor Volovich, Yun Gang Lu |
| title_full_unstemmed | Quantum Theory and Its Stochastic Limit by Luigi Accardi, Igor Volovich, Yun Gang Lu |
| title_short | Quantum Theory and Its Stochastic Limit |
| title_sort | quantum theory and its stochastic limit |
| topic | Physics Distribution (Probability theory) Quantum theory Quantum Physics Quantum Information Technology, Spintronics Probability Theory and Stochastic Processes Quantentheorie Stochastik (DE-588)4121729-9 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Quantenmechanik (DE-588)4047989-4 gnd Quantentheorie (DE-588)4047992-4 gnd |
| topic_facet | Physics Distribution (Probability theory) Quantum theory Quantum Physics Quantum Information Technology, Spintronics Probability Theory and Stochastic Processes Quantentheorie Stochastik Stochastischer Prozess Quantenmechanik |
| url | https://doi.org/10.1007/978-3-662-04929-7 |
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