Mathematical Physics: Classical Mechanics

As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascina...

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Bibliographische Detailangaben
1. Verfasser: Knauf, Andreas (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Berlin, Heidelberg : Springer Berlin Heidelberg , 2018.
Ausgabe:1st ed. 2018.
Schriftenreihe:La Matematica per il 3+2, 109
Schlagworte:
Mathematical physics.
ISBN:9783662557747
ISSN:2038-5722 ;
Online-Zugang: Volltext
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Inhaltsangabe:
  • Remarks on Mathematial Physics
  • 1 Introduction
  • 2 Dynamical Systems
  • 3 Ordinary Differential Equations
  • 4 Linear Dynamics
  • 5 Classification of Linear Flows
  • 6 Hamiltonian Equations and Symplectic Group
  • 7 Stability Theory
  • 8 Variational Principles
  • 9 Ergodic Theory
  • 10 Symplectic Geometry
  • 11 Motion in a Potential
  • 12 Scattering Theory
  • 13 Integrable Systems and Symmetries
  • 14 Rigid and Non-Rigid Bodies
  • 15 Perturbation Theory
  • 16 Relativistic Mechanics
  • 17 Symplectic Topology
  • A Topological Spaces and Manifolds
  • B Differential Forms
  • C Convexity and Legendre Transform
  • D Fixed Point Theorems, and Results about Inverse Images
  • E Group Theory
  • F Bundles, Connection, Curvature
  • G Morse Theory
  • H Solutions of the Exercises
  • Bibiography
  • Index of Proper Names
  • Table of Symbols
  • Image Credits
  • Index.

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