Verwandte Artikel zu Geometric Formulation of Classical and Quantum Mechanics

Geometric Formulation of Classical and Quantum Mechanics - Softcover

Giachetta, Giovanni

 
9789814313728: Geometric Formulation of Classical and Quantum Mechanics
Softcover
ISBN 10: 9814313726 ISBN 13: 9789814313728
Verlag: World Scientific Publishing Company, 2010

Inhaltsangabe

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, theory of Jacobi fields, mechanical systems with time-dependent parameters, non-adiabatic Berry phase theory, instantwise quantization, and quantization relative to different reference frames.

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Von der hinteren Coverseite

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, theory of Jacobi fields, mechanical systems with time-dependent parameters, non-adiabatic Berry phase theory, instantwise quantization, and quantization relative to different reference frames.

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Verlag
World Scientific Publishing Company
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
9814313726
ISBN 13 
9789814313728
Einband
Taschenbuch
Anzahl der Seiten
404
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
GPSR Kontakt
gpsr@libri.de

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