The Classical Dynamics of Particles
eBook - PDF

The Classical Dynamics of Particles

Galilean and Lorentz Relativity

  1. 310 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

The Classical Dynamics of Particles

Galilean and Lorentz Relativity

Book details
Table of contents
Citations

About This Book

The Classical Dynamics of Particles: Galilean and Lorentz Relativity has been designed to serve either as an independent graduate course in dynamics or as a segment of a graduate theoretical physics course. The book begins with a general introduction and a rather extensive discussion of the special theory of relativity, including a section on tachyons. Separate chapters follow on the variational derivation of Lagrangian dynamical equations of charged particle motion and spin angular momentum; variational derivation of Noether's theorem; and canonical formalism and Dirac's extension of Hamiltonian dynamics and treatment of constraints. The ""No-Interaction Theorem"" of Wigner and Van Dam and various efforts to construct a many-particle dynamics compatible with the special theory of relativity are also discussed. The final chapter presents two applications of group theory in classical mechanics: the factorization of the dynamical matrix and the construction of a canonical formalism from a symmetry group. This text is intended for advanced undergraduate or graduate students of physics. It is assumed that the reader has had an undergraduate course in mechanics and the usual undergraduate mathematics preparation including differential equations and matrix theory. Some exposure to elementary tensors and group theory would be helpful but is not essential

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Yes, you can access The Classical Dynamics of Particles by Ronald A. Mann in PDF and/or ePUB format, as well as other popular books in Sciences physiques & Mécanique. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2013
ISBN
9781483262017
Topic
Sciences physiques
Subtopic
Mécanique

Table of contents

  1. Front Cover
  2. The Classical Dynamics of Particles: Galilean and Lorentz Relativity
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. CHAPTER 1. CLASSICAL DYNAMICS OF PARTICLES
  7. CHAPTER 2. LAGRANGIAN DYNAMICS
  8. CHAPTER 3. CONSERVATION LAWS
  9. CHAPTER 4. THE CANONICAL FORMALISM
  10. CHAPTER 5. MANY-PARTICLE DYNAMICS
  11. CHAPTER 6. GROUP THEORY
  12. Appendix A: SOME USEFUL MATHEMATICS
  13. Appendix B: DERIVATION OF LAGRANGE'S EQUATIONS FROM NEWTON'S LAWS
  14. Appendix C: LEUTWYLER'S PROOF OF THE NO-INTERACTION THEOREM
  15. Appendix D: EULER ANGLES
  16. Appendix E: SOME GROUP THEORY
  17. Appendix F: POINT GROUPS AND THEIR CHARACTER TABLES
  18. INDEX