Chaos in classical and quantum mechanics /

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 ag...

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Bibliographic Details
Main Author:	Gutzwiller, M. C. (Martin C.)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	New York : Springer-Verlag, [1990]
Series:	Interdisciplinary applied mathematics ; v. 1.
Subjects:	Mechanics. Quantum chaos. Astronomy. Quantum theory. Chaos déterministe. mécanique quantique. Mécanique classique. Mécanique céleste. Mécanique. Chaos. Théorie quantique. Astronomie. Comportement chaotique des systèmes. Champs, théorie quantique des. Mechanica. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

1. The mechanics of Lagrange
2. The mechanics of Hamilton and Jacobi
3. Integrable systems
4. The three-body problem : moon-earth-sun
5. Three methods of solution
6. Periodic orbits
7. The surface of section
8. Models of the galazy and of small molecules
9. Soft chaos and the KAM theorem
10. Entropy and other measures of chaos
11. The anisotropic Kepler problem
12. The transition from classical to quantum mechanics
13. The new world of quantum mechanics
14. The quantization of integrable systems
15. Wave functions in classically chaotic systems
16. The energy spectrum of a classically chaotic system
17. The trace formula
18. The diamagnetic Kepler problem
19. Motion on a surface of constant negative curvature
20. Scattering problems, coding, and multifractal invariant measures.