Geometric formulation of classical and quantum mechanics:
The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. The literature on this subject is extensive. The present book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent co...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2011
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| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. The literature on this subject is extensive. The present book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations. This formulation of mechanics as like as that of classical field theory lies in the framework of general theory of dynamic systems, and Lagrangian and Hamiltonian formalisms on fiber bundles. The reader will find a strict mathematical exposition of non-autonomous dynamic systems, Lagrangian and Hamiltonian non-relativistic mechanics, relativistic mechanics, quantum non-autonomous mechanics, together with a number of advanced models - superintegrable systems, non-autonomous constrained systems and theory of Jacobi fields. It also contains information on mechanical systems with time-dependent parameters, non-adiabatic Berry phase theory, instantwise quantization, and quantization relative to different reference frames |
| Physical Description: | xi, 392 p |
| ISBN: | 9789814313735 |
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| 520 | |a The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. The literature on this subject is extensive. The present book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations. This formulation of mechanics as like as that of classical field theory lies in the framework of general theory of dynamic systems, and Lagrangian and Hamiltonian formalisms on fiber bundles. The reader will find a strict mathematical exposition of non-autonomous dynamic systems, Lagrangian and Hamiltonian non-relativistic mechanics, relativistic mechanics, quantum non-autonomous mechanics, together with a number of advanced models - superintegrable systems, non-autonomous constrained systems and theory of Jacobi fields. It also contains information on mechanical systems with time-dependent parameters, non-adiabatic Berry phase theory, instantwise quantization, and quantization relative to different reference frames | ||
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| 650 | 4 | |a Quantum theory / Mathematics | |
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| discipline | Physik |
| format | Electronic eBook |
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| id | DE-604.BV044638133 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:52Z |
| institution | BVB |
| isbn | 9789814313735 |
| language | English |
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| physical | xi, 392 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2011 |
| publishDateSearch | 2011 |
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| publisher | World Scientific Pub. Co. |
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| spelling | Giachetta, G. 1961-2014 Verfasser (DE-588)1192332954 aut Geometric formulation of classical and quantum mechanics Giovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvily Singapore World Scientific Pub. Co. c2011 xi, 392 p txt rdacontent c rdamedia cr rdacarrier The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. The literature on this subject is extensive. The present book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations. This formulation of mechanics as like as that of classical field theory lies in the framework of general theory of dynamic systems, and Lagrangian and Hamiltonian formalisms on fiber bundles. The reader will find a strict mathematical exposition of non-autonomous dynamic systems, Lagrangian and Hamiltonian non-relativistic mechanics, relativistic mechanics, quantum non-autonomous mechanics, together with a number of advanced models - superintegrable systems, non-autonomous constrained systems and theory of Jacobi fields. It also contains information on mechanical systems with time-dependent parameters, non-adiabatic Berry phase theory, instantwise quantization, and quantization relative to different reference frames Mechanics / Mathematics Quantum theory / Mathematics Geometry, Differential Mathematical physics Mangiarotti, Luigi Sonstige (DE-588)141878053 oth Sardanašvili, Gennadij A. 1950- Sonstige (DE-588)14187810X oth Erscheint auch als Druck-Ausgabe 9789814313728 Erscheint auch als Druck-Ausgabe 9814313726 http://www.worldscientific.com/worldscibooks/10.1142/7816#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Giachetta, G. 1961-2014 Geometric formulation of classical and quantum mechanics Mechanics / Mathematics Quantum theory / Mathematics Geometry, Differential Mathematical physics |
| title | Geometric formulation of classical and quantum mechanics |
| title_auth | Geometric formulation of classical and quantum mechanics |
| title_exact_search | Geometric formulation of classical and quantum mechanics |
| title_full | Geometric formulation of classical and quantum mechanics Giovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvily |
| title_fullStr | Geometric formulation of classical and quantum mechanics Giovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvily |
| title_full_unstemmed | Geometric formulation of classical and quantum mechanics Giovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvily |
| title_short | Geometric formulation of classical and quantum mechanics |
| title_sort | geometric formulation of classical and quantum mechanics |
| topic | Mechanics / Mathematics Quantum theory / Mathematics Geometry, Differential Mathematical physics |
| topic_facet | Mechanics / Mathematics Quantum theory / Mathematics Geometry, Differential Mathematical physics |
| url | http://www.worldscientific.com/worldscibooks/10.1142/7816#t=toc |
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