BN.com Gift Guide

Classical Dynamics and Its Quantum Analogues

Overview

The primary purpose of this textbook is to introduce students to the principles of classical dynamics of particles, rigid bodies, and continuous systems while showing their relevance to subjects of contemporary interest. Two of these subjects are quantum mechanics and general relativity. The book shows in many examples the relations between quantum and classical mechanics and uses classical methods to derive most of the observational tests of general relativity. A third area of current interest is in nonlinear ...
See more details below
Paperback (2nd ed. 1990. Softcover reprint of the original 2nd ed. 1990)
$87.07
BN.com price
(Save 12%)$99.00 List Price
Other sellers (Paperback)
  • All (5) from $73.66   
  • New (4) from $73.66   
  • Used (1) from $133.85   
Sending request ...

Overview

The primary purpose of this textbook is to introduce students to the principles of classical dynamics of particles, rigid bodies, and continuous systems while showing their relevance to subjects of contemporary interest. Two of these subjects are quantum mechanics and general relativity. The book shows in many examples the relations between quantum and classical mechanics and uses classical methods to derive most of the observational tests of general relativity. A third area of current interest is in nonlinear systems, and there are discussions of instability and of the geometrical methods used to study chaotic behaviour. In the belief that it is most important at this stage of a student's education to develop clear conceptual understanding, the mathematics is for the most part kept rather simple and traditional. In the belief that a good education in physics involves learning the history of the subject, this book devotes some space to important transitions in dynamics: the development of analytical methods in the 18th century and the invention of quantum mechanics.
Read More Show Less

Product Details

  • ISBN-13: 9783642749247
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 7/31/2012
  • Edition description: 2nd ed. 1990. Softcover reprint of the original 2nd ed. 1990
  • Edition number: 2
  • Pages: 333
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.72 (d)

Table of Contents

1. Rays of Light.- 1.1 Waves, Rays, and Orbits.- 1.2 Phase Velocity and Group Velocity.- 1.3 Dynamics of a Wave Packet.- 1.4 Fermat’s Principle of Least Time.- 1.5 Interlude on the Calculus of Variations.- 1.6 Optics in a Gravitational Field.- 2. Orbits of Particles.- 2.1 Ehrenfest’s Theorems.- 2.2 Oscillators and Pendulums.- 2.3 Interlude on Elliptic Functions.- 2.4 Driven Oscillators.- 2.5 A Driven Anharmonic Oscillator.- 2.6 Quantized Oscillators.- 2.7 Coherent States.- 3. Lagrangian Dynamics.- 3.1 Lagrange’s Equations.- 3.2 The Double Pendulum.- 3.3 Planets and Atoms.- 3.4 Orbital Oscillations and Stability.- 3.5 Orbital Motion: Vectorial Integrals and Hyperbolic Orbits.- 3.6 Other Forces.- 3.7 Bohr Orbits and Quantum Mechanics: Degeneracy.- 3.8 The Principle of Maupertuis and Its Practical Utility.- 4. N-Particle Systems.- 4.1 Center-of-Mass Theorems.- 4.2 Two-Particle Systems.- 4.3 Vibrating Systems.- 4.4 Coupled Oscillators.- 4.5 The Virial Theorem.- 4.6 Hydrodynamics.- 5. Hamiltonian Dynamics.- 5.1 The Canonical Equations.- 5.2 Magnetic Forces.- 5.3 Canonical Transformations.- 5.4 Infinitesimal Transformations.- 5.5 Generating Finite Transformations from Infinitesimal Ones.- 5.6 Deduction of New Integrals.- 5.7 Commutators and Poisson Brackets.- 5.8 Gauge Invariance.- 6. The Hamilton-Jacobi Theory.- 6.1 The Hamilton-Jacobi Equation.- 6.2 Step-by-Step Integration of the Hamilton-Jacobi Equation.- 6.3 Interlude on Planetary Motion in General Relativity.- 6.4 Jacobi’s Generalization.- 6.5 Orbits and Integrals.- 6.6 “Chaos”.- 6.7 Coordinate Systems.- 6.8 Curvilinear Coordinates.- 6.9 Interlude on Classical Optics.- 7. Action and Phase.- 7.1 The Old Quantum Theory.- 7.2 Hydrogen Atom in the Old Quantum Theory.- 7.3 The Adiabatic Theorem.- 7.4 Connections with Quantum Mechanics.- 7.5 Heisenberg’s Quantum Mechanics.- 7.6 Matter Waves.- 7.7 Schrödinger’s “Derivation”.- 7.8 Construction of a Wave Function.- 7.9 Phase Shifts in Dynamics.- 8. Theory of Perturbations.- 8.1 Secular and Periodic Perturbations.- 8.2 Perturbations in Quantum Mechanics.- 8.3 Adiabatic Perturbations.- 8.4 Degenerate States.- 8.5 Quantum Perturbation Theory for Positive-Energy States.- 8.6 Action and Angle Variables.- 8.7 Canonical Perturbation Theory.- 8.8 Newtonian Precession.- 9. The Motion of a Rigid Body.- 9.1 Angular Velocity and Momentum.- 9.2 The Inertia Tensor.- 9.3 Dynamics in a Rotating Coordinate System.- 9.4 Euler’s Equations.- 9.5 The Precession of the Equinoxes.- 9.6 Quantum Mechanics of a Rigid Body.- 9.7 Spinors.- 9.8 Particles with Spin.- 10. Continuous Systems.- 10.1 Stretched Strings.- 10.2 Four Modes of Description.- 10.3 Example: A Plucked String.- 10.4 Practical Use of Variation Principles.- 10.5 More Than One Dimension.- 10.6 Waves in Space.- 10.7 The Matter Field.- 10.8 Quantized Fields.- 10.9 The Mössbauer Effect.- 10.10 Classical and Quantum Descriptions of Nature.- References.- Notation.
Read More Show Less

Customer Reviews

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

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com 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 & Noble.com 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 & Noble.com 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 BN.com 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

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com 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 BN.com. 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)