Screen LibraryClassical and quantum electrodynamics and the B(3) field /
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 frame...
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| Main Authors: | |
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| Corporate Authors: | |
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| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore : |
| Publication Dates: | 2001. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Series in contemporary chemical physics ;
vol. 18 |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/4287#t=toc |
| Summary: |
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. |
| Carrier Form: | 1 online resource (xiv,457pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9789812811905 |
| CLC: | O413.2 |
| Contents: |
ch. 1. Interaction of electromagnetic radiation with one fermion. 1.1. Lorentz electron. 1.2. Radiation induced electron and proton spin resonance. 1.3. The [symbol] field. 1.4. Electrodynamics as a nonAbelian gauge field theory. 1.5. Limitations of the U(1) theory. 1.6. Classical relativistic nonAbelian electrodynamics. 1.7. Relativistic quantum description. 1.8. Nonrelativistic quantum description. 1.9. Schrodinger equation with intrinsic spin. 1.10. Resonance conditions in RFR. 1.11. Chemical shifts in NMR. 1.12. Classical derivation of the inverse Faraday effect. References -- ch. 2. The field equations of classical [symbol] electrodynamics. 2.1. Introduction. 2.2. The [symbol] field equations. 2.3. Basic S. I. units. 2.4. The [symbol] vacuum equations. 2.5. Reduction to Maxwell's equations. 2.6. The fundamental laws of [symbol] electrodynamics. 2.7. The Lorentz force equation in [symbol] electrodynamics. 2.8. Continuity equation and Lorentz condition in [symbol] electrodynamics. 2.9. Primitive concepts, axioms and constitutive relations of [symbol] electrodynamics. 2.10. The inverse Faraday effect. 2.11. The effective [symbol] potential, photoelectric and Compton effects and radiation reaction. 2.12. Summary. References -- ch. 3. Origin of electrodynamics in the general theory of gauge fields. 3.1. Closed loop in Minkowski space. 3.2. Gauge transformations. 3.3. The Sagnac effect. 3.4. Observation of [symbol] in the topological phase. 3.5. The nonAbelian stokes theorem and the electromagnetic phase. 3.6. Link between b cyclic theorem and the nonAbelian stokes theorem. References -- ch. 4. Nonlinear propagation in [symbol] electrodynamics: solitons and instantons. 4.1. Limitation in the U(1) theory. 4.2. Identification of the Harmuth and [symbol] field equations. 4.3. Structure of the [symbol] and Harmuth-Barrett field equations. 4.4. Link between the [symbol] equations and the Sine-Gordon equations. 4.5. Instantons. 4.6. Higher order soliton equations. References -- ch. 5. Physical phase effects in [symbol] electrodynamics. 5.1. Phase effects. 5.2. Phase shift of the optical Josephson effect. 5.3. Phase factor of the optical Hall effect. References. ch. 6. Quantum electrodynamics and the [symbol] field. 6.1. Introduction to quantum electrodynamics. 6.2. A brief introduction to differential forms. 6.3. The physical basis for nonAbelian electrodynamics. 6.4. The quantized U(1) and [symbol] electrodynamic field. 6.5. Quantum electrodynamics of elementary scattering. 6.6. Physics of quantum electrodynamics of electrons and photons with the [symbol] field. 6.7. Nonrelativistic estimate of the [symbol] contribution to the lamb shift. 6.8. Derivation of the [symbol] spectrum from nonAbelian electrodynamics. 6.9. Analogy from classical field to nonAbelian quantum electrodynamics. References -- ch. 7. Quantum chaos, topological indices and gauge theories. 7.1. Introduction. 7.2. Topological number and quantum vortices. 7.3. Density operator methods. 7.4. Hamiltonian chaotic systems. 7.5. Quantum geometry and Bohm's theory. 7.6. Discussion and problems. References -- ch. 8. Field theory of [symbol] QED and unification with weak and nuclear interactions. 8.1. Discussion. 8.2. Basics of relativistic [symbol] QED. 8.3. Renormalization of [symbol] QED. 8.4. [Symbol] field as a vacuum symmetry -- ch. 9. Potential application of [symbol] QED. 9.1. Computation, biophysics and [symbol] induced entangled states. 9.2. [symbol] field and the sequencing of DNA -- ch. 10. Duality and fundamental problems. 10.1. Foundations for SU(2) electromagnetism. 10.2. Rotations between spacetime conjugate variables and their fluctuations in quantum gravity. 10.3. Duality: questions, numerical probes, and quantum uncertainty. 10.4. Gravitation with one killing isometry. 10.5. Brief discussion on string theory. 10.6. Overview of conformal groups. 10.7. Conformal structure of the vacuum. 10.8. Conformal group and gauge theories according to weighted projective spaces. 10.9. Conformal theory of [symbol] string vortices. 10.10. Concluding statements on duality. References. |