Structure of Dynamical Systems A Symplectic View of Physics by J.-M Souriau

Cover of: Structure of Dynamical Systems | J.-M Souriau

Published by Birkhäuser Boston, Imprint: Birkhäuser in Boston, MA .

Written in English

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Subjects:

  • Mathematics,
  • Cell aggregation,
  • Differentiable dynamical systems

About the Edition

This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization. The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. The first tow chapters provide the necessary mathematical background in differential geometry, Lie groups, and symplectic geometry. In Chapter 3 a coherent symplectic description of Galilean and relativistic mechanics is given, culminating in the classification of elementary particles (relativistic and non-relativistic, with or without spin, with or without mass). In Chapter 4 statistical mechanics is put into symplectic form, finishing with a symplectic description of the kinetic theory of gases and the computation of specific heats. Finally, in Chapter 5 the author presents his theory of geometric quantization. Highlights of this chapter are the derivations of various wave equations and the construction of the Fock space.

Edition Notes

Book details

Statementby Jean-Marie Souriau
SeriesProgress in Mathematics -- 149, Progress in Mathematics -- 149
Classifications
LC ClassificationsQA313
The Physical Object
Format[electronic resource] :
Pagination1 online resource (xxxiv, 406 p.)
Number of Pages406
ID Numbers
Open LibraryOL27089839M
ISBN 101461266920, 1461202817
ISBN 109781461266921, 9781461202813
OCLC/WorldCa853266463

Download Structure of Dynamical Systems

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It is with great pleasure that we are able to provide the reader with a Structure of Dynamical Systems book book gives a clear and accessible exposition of some of the central concepts addressed by the classical theory of dynamical systems.

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