Authors:
- The interplay between geometry and physics is presented in a novel way: geometrical structures are derived from dynamics
- Simple examples are given to simplify abstract and difficult geometrical ideas used in the description of physical laws
- Focuses on fundamental aspects of mathematical physics
- Includes supplementary material: sn.pub/extras
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
Reviews
“This impressive book takes the reader onto a long journey through the topological and geometrical settings behind the main topics of classical and quantum mechanics. … The book is completely self-contained, besides from references to the original literature (every chapter finishes with a reference list), for all of the presented results also the proofs are given. … Reading this book provides an excellent opportunity to practice and understand the geometric mechanics.” (Mircea Crâşmăreanu, zbMATH 1364.81001, 2017)
“It is offered for a comprehensive exposition of the use of geometrical tools in the study of both classical and quantum systems. It would be very useful to a motivated student or a researcher wishing to adopt the geometrical framework in his/her work. Each chapter contains an extensive bibliography, old and current, doing justice to the various possible directions of study.” (Demetris P. K. Ghikas, Mathematical Reviews, October, 2015)
Authors and Affiliations
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Departamento de Física Teórica, Universidad de Zaragoza, Zaragoza, Spain
José F. Cariñena
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Dept. Matemáticas, Universidad Carlos III de Madrid, Madrid, Spain
Alberto Ibort
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Departimento di Scienze Fisiche, Universita Federico II di Napoli, Napoli, Italy
Giuseppe Marmo
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Universitá di Bologna INFN Sezione di Bologna, Bologna, Italy
Giuseppe Morandi
Bibliographic Information
Book Title: Geometry from Dynamics, Classical and Quantum
Authors: José F. Cariñena, Alberto Ibort, Giuseppe Marmo, Giuseppe Morandi
DOI: https://doi.org/10.1007/978-94-017-9220-2
Publisher: Springer Dordrecht
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media Dordrecht 2015
Hardcover ISBN: 978-94-017-9219-6Published: 08 October 2014
Softcover ISBN: 978-94-024-0154-7Published: 10 September 2016
eBook ISBN: 978-94-017-9220-2Published: 23 September 2014
Edition Number: 1
Number of Pages: XXV, 719
Number of Illustrations: 22 b/w illustrations
Topics: Theoretical, Mathematical and Computational Physics, Mathematical Physics, Complex Systems, Differential Geometry, Classical Mechanics, Statistical Physics and Dynamical Systems