*by Lawrence B. Crowell*

Pages: 388

Publisher: World Scientific Publishing Company

Year: 2005

ISBN: 9812565159

ISBN: 978-9812565150

*by Myron W. Evans, Lawrence B. Crowell*

Pages: 472

Publisher: World Scientific Publishing Company

Year: 2001

ISBN: 9810241496

**Websites:**www.worldscibooks.com/physics/4287.html

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*