Holdings: Hamiltonian mechanical systems and geometric quantization

Hamiltonian mechanical systems and geometric quantization:

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Bibliographic Details
Main Author:	Puta, Mircea (Author)
Format:	Book
Language:	English
Published:	Dordrecht u.a. Kluwer Acad. Publ. 1993
Series:	Mathematics and its applications 260
Subjects:	Hamiltonian systems Poisson manifolds Symplectic manifolds Geometrische Quantisierung Hamiltonsches System
Online Access:	Inhaltsverzeichnis
Physical Description:	VIII, 278 S. graph. Darst.
ISBN:	0792323068

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MARC


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adam_text	Contents Introduction vii Background Notation viii Chapter 1 Symplectic Geometry 1.1 Symplectic Algebra 1 1.2 Symplectic Geometry 7 1.3 Darboux s Theorem 12 1.4 Symplectic Reduction 14 1.5 Problems and Solutions 20 Chapter 2 Hamiltonian Mechanics 2.1 Hamiltonian Mechanical Systems 28 2.2 Poisson Bracket 35 2.3 Infinite Dimensional Hamiltonian Mechanical Systems 41 2.4 Problems and Solutions 44 Chapter 3 Lie Groups. Momentum Mappings. Reduction 3.1 Lie Groups 52 3.2 Actions of Lie Groups 62 3.3 The Momentum Mapping 67 3.4 Reduction of Symplectic Manifolds 72 3.5 Problems and Solutions 84 Chapter 4 Hamilton Poisson Mechanics 4.1 Poisson Geometry 96 4.2 The Lie Poisson Structure 100 4.3 Hamilton Poisson Mechanical Systems 106 4.4 Reduction of Poisson Manifolds 113 4.5 Problems and Solutions 116 Chapter 5 Hamiltonian Mechanical Systems and Stability 5.1 The Meaning of Stability 134 5.2 Hamilton s Equations and Stability 137 5.3 The Energy Casimir Method 138 5.4 Problems and Solutions 149 vi CONTENTS Chapter 6 Geometric Prequantization 6.1 Full Quantization and Dirac Problem 157 6.2 Complex Bundles and the Dirac Problem 159 6.3 Geometric Prequantization 163 6.4 Problems and Solutions 168 Chapter 7 Geometric Quantization 7.1 Polarizations and the First Attempts to Quantization 183 7.2 Half Forms Correction of Geometric Quantization 193 7.3 The Non Existence Problem 198 7.4 Problems and Solutions 199 Chapter 8 Foliated Cohomology and Geometric Quantization 8.1 Real Foliations and Differential Forms 207 8.2 Complex Foliations and Differential Forms 210 8.3 Complex Elliptic Foliations and Spectral Geometry 213 8.4 Cohomological Correction of Geometric Quantization 221 8.5 Problems and Solutions 224 Chapter 9 Symplectic Reduction. Geometric Quantization. Constrained Mechanical Systems 9.1 Symplectic Reduction and Geometric Prequantization 236 9.2 Symplectic Reduction and Geometric Quantization 239 9.3 Applications to Constrained Mechanical Systems 240 9.4 Problems and Solutions 244 Chapter 10 Poisson Manifolds and Geometric Prequantization 10.1 Groupoids 250 10.2 Symplectic Groupoids 252 10.3 Geometric Prequantization of Poisson Manifolds 255 10.4 Problems and Solutions 257 References 262 Index 274
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isbn	0792323068
language	English
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physical	VIII, 278 S. graph. Darst.
publishDate	1993
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publisher	Kluwer Acad. Publ.
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series	Mathematics and its applications
series2	Mathematics and its applications
spelling	Puta, Mircea Verfasser aut Hamiltonian mechanical systems and geometric quantization by Mircea Puta Dordrecht u.a. Kluwer Acad. Publ. 1993 VIII, 278 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 260 Hamiltonian systems Poisson manifolds Symplectic manifolds Geometrische Quantisierung (DE-588)4156720-1 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 s Geometrische Quantisierung (DE-588)4156720-1 s DE-604 Mathematics and its applications 260 (DE-604)BV008163334 260 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005402678&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Puta, Mircea Hamiltonian mechanical systems and geometric quantization Mathematics and its applications Hamiltonian systems Poisson manifolds Symplectic manifolds Geometrische Quantisierung (DE-588)4156720-1 gnd Hamiltonsches System (DE-588)4139943-2 gnd
subject_GND	(DE-588)4156720-1 (DE-588)4139943-2
title	Hamiltonian mechanical systems and geometric quantization
title_auth	Hamiltonian mechanical systems and geometric quantization
title_exact_search	Hamiltonian mechanical systems and geometric quantization
title_full	Hamiltonian mechanical systems and geometric quantization by Mircea Puta
title_fullStr	Hamiltonian mechanical systems and geometric quantization by Mircea Puta
title_full_unstemmed	Hamiltonian mechanical systems and geometric quantization by Mircea Puta
title_short	Hamiltonian mechanical systems and geometric quantization
title_sort	hamiltonian mechanical systems and geometric quantization
topic	Hamiltonian systems Poisson manifolds Symplectic manifolds Geometrische Quantisierung (DE-588)4156720-1 gnd Hamiltonsches System (DE-588)4139943-2 gnd
topic_facet	Hamiltonian systems Poisson manifolds Symplectic manifolds Geometrische Quantisierung Hamiltonsches System
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