Advertisement

Classical Mechanics

Hamiltonian and Lagrangian Formalism

  • Alexei¬†Deriglazov

Table of contents

  1. Front Matter
    Pages i-xii
  2. Alexei Deriglazov
    Pages 1-75
  3. Alexei Deriglazov
    Pages 77-118
  4. Alexei Deriglazov
    Pages 127-153
  5. Alexei Deriglazov
    Pages 155-166
  6. Alexei Deriglazov
    Pages 167-202
  7. Alexei Deriglazov
    Pages 203-236
  8. Alexei Deriglazov
    Pages 237-302
  9. Back Matter
    Pages 303-308

About this book

Introduction

Formalism of classical mechanics underlies a number of powerful mathematical methods that are widely used in theoretical and mathematical physics. This book considers the basics facts of Lagrangian and Hamiltonian mechanics, as well as related topics, such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyond the traditional level adopted in the standard textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material. The mathematical constructions involved are explicitly described and explained, so the book can be a good starting point for the undergraduate student new to this field. At the same time and where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for the graduate students intending to work in one of the branches of the vast field of theoretical physics. To illustrate how classical-mechanics formalism works in other branches of theoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included.

Keywords

Canonical transformation Classical mechanics Hamiltonian formalism Hamiltonian methods Noether theorem Potential Textbook Hamiltonian formalism Textbook classical mechanics Theoretical physics mathematical physics

Authors and affiliations

  • Alexei¬†Deriglazov
    • 1
  1. 1.Depto. FisicaUniversidade Federal de Juiz de ForaJuiz de ForaBrazil

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-14037-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-14036-5
  • Online ISBN 978-3-642-14037-2
  • Buy this book on publisher's site