Metamorphoses of Hamiltonian Systems with Symmetries

• Main Author: Efstathiou, Konstantinos (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
• Series: Lecture Notes in Mathematics, 1864
• Subjects: Physics.; Topological groups.; Lie groups.; Dynamics.; Ergodic theory.; System theory.; Theoretical, Mathematical and Computational Physics.; Complex Systems.; Dynamical Systems and Ergodic Theory.; Topological Groups, Lie Groups.; Statistical Physics and Dynamical Systems.

Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) a...

Table of Contents:

• Introduction
• Four Hamiltonian Systems
• Small Vibrations of Tetrahedral Molecules
• The Hydrogen Atom in Crossed Fields
• Quadratic Spherical Pendula
• Fractional Monodromy in the 1: - 2 Resonance System
• The Tetrahedral Group
• Local Properties of Equilibria
• References
• Index.