Chaos in classical and quantum methods

Martin C. Gutzwiller - Collection Interdisciplinary applied mathematics

432 pages, parution le 20/04/2004

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Résumé

Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.

Sommaire

The Mechanics of Lagrange
The Mechanics of Hamilton and Jacobi
Integrable Systems
The Three-Body Problem: Moon-Earth-Sun
Three Methods of Section
Periodic Orbits
The Surface of Solution
Models of the Galaxy and of Small Molecules
Soft Chaos and the KAM Theorem
Entropy and Other Measures of Chaos
The Anisotropic Kepler Problem
The Transition From Classical to Quantum Mechanics
The New World of Quantum Mechanics
The Quantization of Integrable Systems
Wave Functions in Classically Chaotic Systems
The Energy Spectrum of a Classically Chaotic System
The Trace Formula
The Diamagnetic Kepler Problem
Motion on a Surface of Constant Negative Curvature
Scattering Problems, Coding and Multifractal Invariant Measures

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Martin C. Gutzwiller
Collection	Interdisciplinary applied mathematics
Parution	20/04/2004
Nb. de pages	432
Format	16 x 24
Couverture	Relié
Poids	760g
Intérieur	Noir et Blanc
EAN13	9780387971735
ISBN13	978-0-387-97173-5