Geometric formulation of classical and quantum mechanics
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Geometric formulation of classical and quantum mechanics
Geometric Formulation of Classical and Quantum MechanicsGiovanni Giachetta Luigi Mangiarotti Gennadi SardanashvilyWorld ScientificGeometric Formulatio Geometric formulation of classical and quantum mechanics on of Classical and Quantum MechanicsThis page intentionally left blankGeometric Formulation of Classical and Quantum MechanicsGiovanni GiachettaUniversity of Camerino, ItalyLuigi MangiarottiUniversity of Camerino, ItalyGennadi SardanashvilyMoscow State University, RussiaWorld ScientificPublished by Geometric formulation of classical and quantum mechanics World Scientific Publishing Co. Pte. Ltd.5 Toh Tuck Link. Singapore 596224USA office: 27 Warren Street. Suite 401-402. Hackensack. NJ 07601UK office:Geometric formulation of classical and quantum mechanics
57 Shelton Street, Covent Garden, London WC2H 9HEBritish Library Cataloguing-in-Publication DataA catalogue record for this book is available from theGeometric Formulation of Classical and Quantum MechanicsGiovanni Giachetta Luigi Mangiarotti Gennadi SardanashvilyWorld ScientificGeometric Formulatio Geometric formulation of classical and quantum mechanics ed. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher.For photocopying of material in t Geometric formulation of classical and quantum mechanics his volume, please pay a copying fee through the Copyright Clearance Center. Inc., 222 Rosewood Drive, Danvers. MA 01923, USA. In this case permissionGeometric formulation of classical and quantum mechanics
to photocopy is not required from the publisher.ISBN-13 978-981-4313-72-8ISBN-10 981-4313-72-6Printed in Singapore.PrefaceGeometry of symplectic and Geometric Formulation of Classical and Quantum MechanicsGiovanni Giachetta Luigi Mangiarotti Gennadi SardanashvilyWorld ScientificGeometric Formulatio Geometric formulation of classical and quantum mechanics s extensive.This book presents the advanced geometric formulation of classical and quantum non-relativistic 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 o Geometric formulation of classical and quantum mechanics f general theory of dynamic systems. Lagrangian and Hamiltonian formalism on fibre bundles.Non-autonomous dynamic systems. Newtonian systems. LagrangiGeometric formulation of classical and quantum mechanics
an and Hamiltonian lion-relativistic mechanics, relativistic mechanics, quantum non-autonomous mechanics are considered.Classical non-relativistic mecGeometric Formulation of Classical and Quantum MechanicsGiovanni Giachetta Luigi Mangiarotti Gennadi SardanashvilyWorld ScientificGeometric Formulatio Geometric formulation of classical and quantum mechanics geometric terms of Banach and Hilbert bundles and connections on these bundles. A quantization scheme speaking this language is geometric quantization. Relativistic mechanics is adequately formulated as particular classical string theory of onedimensional submanifolds.The concept of a connection is Geometric formulation of classical and quantum mechanics the central link throughout the book. Connections on a configuration space of lion-relativistic mechanics describe reference frames. Holonomic connectGeometric formulation of classical and quantum mechanics
ions on a velocity space define noil-relativistic dynamic equations. Hamiltonian connections in Hamiltonian non-relativistic mechanics define the HamiGeometric Formulation of Classical and Quantum MechanicsGiovanni Giachetta Luigi Mangiarotti Gennadi SardanashvilyWorld ScientificGeometric Formulatio Geometric formulation of classical and quantum mechanics edient in geometric quantization.Geometric Formulation of Classical and Quantum MechanicsGiovanni Giachetta Luigi Mangiarotti Gennadi SardanashvilyWorld ScientificGeometric FormulatioGọi ngay
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