*Classical and Quantum Electrodynamics and the B(3) Field*

Author | Lawrence B Crowell, Myron W Evans |
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Published | 2001 |

Publisher | World Scientific Publishing Company |

Pages | 472 |

ISBN | 9810241496 |

It is well known that classical electrodynamics is riddled with internal inconsistencies springing from the fact that it is a linear, Abelian theory in which the potentials are unphysical. This volume offers a self-consistent hypothesis which removes some of these problems, as well as builds a framework on which linear and nonlinear optics are treated as a non-Abelian gauge field theory based on the emergence of the fundamental magnetizing field of radiation, the B(3) field.

**Contents:**

- Interaction of Electromagnetic Radiation with One Fermion
- The Field Equations of Classical
*O*(3)Electrodynamics_{b} - Origin of Electrodynamics in the General Theory of Gauge Fields
- Nonlinear Propagation in
*O*(3)Electrodynamics: Solitons and Instantons_{b} - Physical Phase Effects in
*O*(3)Electrodynamics_{b} - Quantum Electrodynamics and the
*B*^{(3)}Field - Quantum Chaos, Topological Indices and Gauge Theories
- Field Theory of
*O*(3)QED and Unification with Weak and Nuclear Interactions_{b} - Potential Applications of
*O*(3)QED_{b} - Duality and Fundamental Problems

**Readership:** Graduate and undergraduates in physics (electromagnetism), differential geometry & topology, electrical & electronic engineering, theoretical & physical chemistry, chaos and dynamical systems.

"? beginners may benefit from the exhaustive references to the literature of contemporary workers in the field." -- *Zentralblatt MATH*