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Chaos in Classical and Quantum Mechanics

by Martin C. Gutzwiller

  • ISBN: 9780387971735
  • ISBN10: 0387971734

Chaos in Classical and Quantum Mechanics

by Martin C. Gutzwiller

  • List Price: $129.00
  • Binding: Hardcover
  • Publisher: Springer Verlag
  • Publish date: 01/01/1991
  • ISBN: 9780387971735
  • ISBN10: 0387971734
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Description: Contents: 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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