Chapter 2. Elements of Classical Mechanics and Electrodynamics

  1. Prof. Dr. Markus Reiher and
  2. Dr. Alexander Wolf

Published Online: 22 JUN 2009

DOI: 10.1002/9783527627486.ch2

Relativistic Quantum Chemistry: The Fundamental Theory of Molecular Science

Relativistic Quantum Chemistry: The Fundamental Theory of Molecular Science

How to Cite

Reiher, M. and Wolf, A. (2009) Elements of Classical Mechanics and Electrodynamics, in Relativistic Quantum Chemistry: The Fundamental Theory of Molecular Science, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527627486.ch2

Author Information

  1. ETH Zuerich, Laboratory for Physical Chemistry, Hoenggerberg Campus, Wolfgang-Pauli-Strasse 10, 8093 Zuerich, Switzerland

Publication History

  1. Published Online: 22 JUN 2009
  2. Published Print: 14 JAN 2009

ISBN Information

Print ISBN: 9783527312924

Online ISBN: 9783527627486

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Keywords:

  • classical mechanics;
  • electrodynamics;
  • elementary Newtonian mechanics;
  • Lagrangian formulation;
  • Hamiltonian mechanics;
  • elementary electrodynamics

Summary

All phenomena of classical nonrelativistic mechanics are solely based on Newton's laws of motion, which are valid in any inertial frame of reference. The natural symmetry operations of classical mechanics are the Galilean transformations, mediating the transition from one inertial coordinate system to another. The fundamental laws of classical mechanics can equally well be formulated applying the elegant Lagrangian and Hamiltonian descriptions based on Hamilton's action principle. Maxwell's equations for electric and magnetic fields are introduced as the basic laws of classical electrodynamics.