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Classical And Quantum Dissipative Systems.
This book discusses issues associated with the quantum mechanical formulation of dissipative systems. It begins with an introductory review of phenomenological damping forces, and the construction of the Lagrangian and Hamiltonian for the damped motion. It is shown, in addition to these methods, tha...
| Clasificación: | Libro Electrónico |
|---|---|
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
World Scientific
2006.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000M 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn748530862 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
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| 008 | 110613s2006 xx o 000 0 eng d | ||
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| 019 | |a 815742024 | ||
| 020 | |a 1281867136 | ||
| 020 | |a 9781281867131 | ||
| 020 | |a 9781860949180 | ||
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| 049 | |a UAMI | ||
| 245 | 0 | 0 | |a Classical And Quantum Dissipative Systems. |
| 260 | |b World Scientific |c 2006. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 505 | 0 | |a Cover -- Contents -- Dedication -- Preface -- 1 Introduction -- 2 Phenomenological Equations of Motion for Dissipative Systems -- 2.1 Frictional Forces Linear Velocity -- 2.2 Raleigh's Oscillator -- 2.3 One-Dimensional Motion and Bopp Transformation -- 2.4 The Classical Theory of Line Width -- 2.5 Frictional Forces Quadratic in Velocity -- 2.6 Non-Newtonian and Nonlocal Dissipative Forces -- 3 Lagrangian Formulations -- 3.1 Rayleigh and Lur'e Dissipative Functions -- 3.2 Inverse Problem of Analytical Dynamics -- 3.3 Some Examples of the Lagrangians for Dissipative Systems -- 3.4 Non-Uniqueness of the Lagrangian -- 3.5 Acceptable Lagrangians for Dissipative Systems -- 4 Hamiltonian Formulation -- 4.1 Inverse Problem for the Hamiltonian -- 4.2 Hamiltonians for Simple Dissipative Systems -- 4.3 Ostrogradsky's Method -- 4.4 Complex or Leaky Spring Constant. | |
| 520 | |a This book discusses issues associated with the quantum mechanical formulation of dissipative systems. It begins with an introductory review of phenomenological damping forces, and the construction of the Lagrangian and Hamiltonian for the damped motion. It is shown, in addition to these methods, that classical dissipative forces can also be derived from solvable many-body problems. A detailed discussion of these derived forces and their dependence on dynamical variables is also presented. The second part of this book investigates the use of classical formulation in the quantization of dynamical systems under the influence of dissipative forces. The results show that, while a satisfactory solution to the problem cannot be found, different formulations represent different approximations to the complete solution of two interacting systems. The third and final part of the book focuses on the problem of dissipation in interacting quantum mechanical systems, as well as the connection of some of these models to their classical counterparts. A number of important applications, such as the theory of heavy-ion scattering and the motion of a radiating electron, are also discussed. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Energy dissipation. | |
| 650 | 0 | |a Quantum theory. | |
| 650 | 0 | |a Mechanics. | |
| 650 | 6 | |a Dissipation d'énergie. | |
| 650 | 6 | |a Théorie quantique. | |
| 650 | 6 | |a Mécanique. | |
| 650 | 7 | |a mechanics (physics) |2 aat | |
| 650 | 7 | |a Energy dissipation |2 fast | |
| 650 | 7 | |a Mechanics |2 fast | |
| 650 | 7 | |a Quantum theory |2 fast | |
| 655 | 4 | |a Electronic resource. | |
| 720 | |a Razavy, Mohsen. | ||
| 758 | |i has work: |a Classical and quantum dissipative systems (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGmv7rk47vDkkkW46kyrv3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1681524 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL1681524 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 186713 | ||
| 994 | |a 92 |b IZTAP | ||