دینامیک کلاسیک ذرات: نسبیت گالیله‌ای و لورنتس

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 Content: Front Matter , Page iii Copyright , Page iv Dedication , Page v PREFACE , Pages ix-x 1 - CLASSICAL DYNAMICS OF PARTICLES , Pages 1-45 2 - LAGRANGIAN DYNAMICS , Pages 46-95 3 - CONSERVATION LAWS , Pages 96-111 4 - THE CANONICAL FORMALISM , Pages 112-167 5 - MANY-PARTICLE DYNAMICS , Pages 168-191 6 - GROUP THEORY , Pages 192-229 Appendix A - SOME USEFUL MATHEMATICS , Pages 230-236 Appendix B - DERIVATION OF LAGRANGE'S EQUATIONS FROM NEWTON'S LAWS , Pages 237-241 Appendix C - LEUTWYLER'S PROOF OF THE NO-INTERACTION THEOREM , Pages 242-249 Appendix D - EULER ANGLES , Pages 250-251 Appendix E - SOME GROUP THEORY , Pages 252-266 Appendix F - POINT GROUPS AND THEIR CHARACTER TABLES , Pages 267-295 INDEX , Pages 297-299 [by] Ronald A. Mann. Includes Bibliographies.