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Chaos in Classical and Quantum Mechanics

Martin C. Gutzwiller
Publisher: 
Springer Verlag
Publication Date: 
1990
Number of Pages: 
432
Format: 
Hardcover
Series: 
Interdisciplinary Applied Mathematics, Volume 1
Price: 
99.00
ISBN: 
978-0387971735
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

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 Introduction.- 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.- References.- Index.

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