Classical and Quantum Dynamics: From Classical Paths to Path Integrals / Edition 3

Paperback (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $79.13
Usually ships in 1-2 business days
(Save 27%)
Other sellers (Paperback)
  • All (7) from $79.13   
  • New (6) from $79.13   
  • Used (1) from $134.17   


Physics students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here a detailed treatment many worked examples. This new edition has been revised and enlarged with chapters on the action principle in classical electrodynamics, on the functional derivative approach, and on computing traces.

Read More Show Less

Editorial Reviews

From the Publisher
From the reviews of the third edition:

"This book is a brilliant exposition of dynamical systems covering the essential aspects and written in an elegant manner. The book is written in modern language of mathematics and will ideally cater to the requirements of graduate and first year Ph.D. students...a wonderful introduction to any student who wants to do research in any branch of theoretical Physics."

—Indian Journal of Physics

"The point which makes this book really unique is the abundance of detailed well-chosen examples illustrating the action principle, the canonical transformations, the perturbation theory, and the removal of resonances...Numerous explicit examples of direct evaluations of path integrals make this approach particularly clear and attractive. This book will be of interest to both graduate and post-graduate advanced physics students and is warmly recommended in view of its originality and readability."


"The search of possible connections between classical dynamics and quantum mechanics is an old exciting problem. … The present book highlights the principle of stationary action as common starting point of both theories. … This third edition … is supplemented with chapters on the action principle in classical electrodynamics (an excellent example of working scheme), on the functional derivative approach and on computing traces in the context of WKB propagator. Extensive additions and detailed treatments are also included in the text." (Mircea Crâsmareanu, Zentralblatt MATH, Vol. 990 (15), 2002)

Read More Show Less

Product Details

  • ISBN-13: 9783540420668
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 8/9/2001
  • Series: Advanced Texts in Physics Series
  • Edition description: Softcover reprint of the original 3rd ed. 2001
  • Edition number: 3
  • Pages: 385
  • Product dimensions: 0.82 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

1. The Action Principles in Mechanics.- 2. The Action Principle in Classical Electrodynamics.- 3. Application of the Action Principles.- 4. Jacobi Fields, Conjugate Points.- 5. Canonical Transformations.- 6. The Hamilton—Jacobi Equation.- 7. Action-Angle Variables.- 8. The Adiabatic Invariance of the Action Variables.- 9. Time-Independent Canonical Perturbation Theory.- 10. Canonical Perturbation Theory with Several Degrees of Freedom.- 11. Canonical Adiabatic Theory.- 12. Removal of Resonances.- 13. Superconvergent Perturbation Theory, KAM Theorem (Introduction).- 14. Poincaré Surface of Sections, Mappings.- 15. The KAM Theorem.- 16. Fundamental Principles of Quantum Mechanics.- 17. Functional Derivative Approach.- 18. Examples for Calculating Path Integrals.- 19. Direct Evaluation of Path Integrals.- 20. Linear Oscillator with Time-Dependent Frequency.- 21. Propagators for Particles in an External Magnetic Field.- 22. Simple Applications of Propagator Functions.- 23. The WKB Approximation.- 24. Computing the trace.- 25. Partition Function for the Harmonic Oscillator.- 26. Introduction to Homotopy Theory.- 27. Classical Chern—Simons Mechanics.- 28. Semiclassical Quantization.- 29. The “Maslov Anomaly” for the Harmonic Oscillator.- 30. Maslov Anomaly and the Morse Index Theorem.- 31. Berry’s Phase.- 32. Classical Analogues to Berry’s Phase.- 33. Berry Phase and Parametric Harmonie Oscillator.- 34. Topological Phases in Planar Electrodynamics.- References.

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)