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Hamiltonian dynamics /
This is both a textbook and a monograph. It is partially based on a two-semester course, held by the author for third-year students in physics and mathematics at the University of Salerno, on analytical mechanics, differential geometry, symplectic manifolds and integrable systems. As a textbook, it...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, N.J. :
World Scientific,
©2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover
- Contents
- Preface
- Introduction
- I Analytical Mechanics
- 1 The Lagrangian Coordinates
- 1.1 A Primer for Various Formulations of Dynamics
- 1.2 Constraints
- 1.3 Degrees of Freedom and Lagrangian Coordinates
- 1.4 The Calculus of Variations and the Lagrange Equations
- 1.5 Remarks on Lagrange's Equations
- 2 Hamiltonian Systems
- 2.1 The Legendre Transformation
- 2.2 The Hamilton Equations
- 2.3 The Poisson Bracket and the Jacobi-Poisson Theorem
- 2.4 A More Compact Form of The Hamiltonian Dynamics
- 2.5 The Variational Principle for the Hamilton Equations
- 3 Transformation Theory
- 3.1 Canonical, Completely Canonical and Symplectic Transformations
- 3.2 A New Characterization of Completely Canonical Transformations
- 3.3 New Characterization of Sympletic Transformations
- 4 The Integration Methods
- 4.1 Integrals Invariants of a Differential System
- 4.2 A Primer on the Lie Derivative
- 4.3 The Kepler Dynamics.