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  • © 1990

Chaos in Classical and Quantum Mechanics

Part of the book series: Interdisciplinary Applied Mathematics (IAM, volume 1)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction

    • Martin C. Gutzwiller
    Pages 1-4
  3. The Mechanics of Lagrange

    • Martin C. Gutzwiller
    Pages 5-18
  4. The Mechanics of Hamilton and Jacobi

    • Martin C. Gutzwiller
    Pages 19-29
  5. Integrable Systems

    • Martin C. Gutzwiller
    Pages 30-44
  6. Three Methods of Solution

    • Martin C. Gutzwiller
    Pages 58-74
  7. Periodic Orbits

    • Martin C. Gutzwiller
    Pages 75-86
  8. The Surface of Section

    • Martin C. Gutzwiller
    Pages 87-98
  9. Models of the Galaxy and of Small Molecules

    • Martin C. Gutzwiller
    Pages 99-115
  10. Soft Chaos and the KAM Theorem

    • Martin C. Gutzwiller
    Pages 116-141
  11. Entropy and Other Measures of Chaos

    • Martin C. Gutzwiller
    Pages 142-155
  12. The Anisotropic Kepler Problem

    • Martin C. Gutzwiller
    Pages 156-172
  13. The Transition from Classical to Quantum Mechanics

    • Martin C. Gutzwiller
    Pages 173-193
  14. The New World of Quantum Mechanics

    • Martin C. Gutzwiller
    Pages 194-206
  15. The Quantization of Integrable Systems

    • Martin C. Gutzwiller
    Pages 207-230
  16. Wave Functions in Classically Chaotic Systems

    • Martin C. Gutzwiller
    Pages 231-253
  17. The Energy Spectrum of a Classically Chaotic System

    • Martin C. Gutzwiller
    Pages 254-281
  18. The Trace Formula

    • Martin C. Gutzwiller
    Pages 282-321
  19. The Diamagnetic Kepler Problem

    • Martin C. Gutzwiller
    Pages 322-339

About this book

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.

Authors and Affiliations

  • IBM T.J. Watson Research Center, Yorktown Heights, USA

    Martin C. Gutzwiller

Bibliographic Information

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access