This chapter on classical field theory commences with an overview on mathematical preliminaries and defines a field.
It explores basic concepts such as the behavior of fields under coordinate transformations and properties of the rotation matrix. The section on Einsteinian relativity discusses timelike and spacelike intervals, the light cone, variational principle for free motion and the Lorentz transformation.
Key topics include the principle of least action and relativistic Hamilton—Jacobi equation. The motion of a particle in a given electromagnetic field and the dynamics of the electromagnetic field are discussed. The chapter ends with a detailed discussion on energy—momentum tensors. The full text of this article hosted at iucr.
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The Classical Theory of Fields
Share Give access Share full text access. Share full text access. Please review our Terms and Conditions of Use and check box below to share full-text version of article. Summary This chapter on classical field theory commences with an overview on mathematical preliminaries and defines a field. The text has been thoroughly revised and additional problems inserted. The Complete course of Theoretical Physics by Landau and Lifshitz, recognized as two of the world's outstanding physicists, is published in full by Butterworth-Heinemann.
The Classical Theory of Fields - Electromagnetism | Carl S. Helrich | Springer
It comprises nine volumes, covering all branches of the subject; translations from the Russian are by leading scientists. For final year undergraduates, postgraduates, and research workers in theoretical physics and physics. The principle of relativity; Relativistic mechanics; Electromagnetic fields; Electromagnetic waves; The propagation of light; The field of moving charges; Radiation of electromagnetic waves; Particle in a gravitational field; The gravitational field equation; The field of gravitational bodies; Gravitational waves; Relativistic cosmology; Index.
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