The Photon : Contemporary Fundamental Physics

Contemporary Fundamental Physics

By: Trilochan Pradhan

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Paperback | 1 January 2001

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131 Pages

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26.4 x 18.2 x 1.4

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This book is about Maxwell's electromagnetic theory of light. First, it is a fully relativistic theory without having a non-relativistic limit. There arise many difficulties in quantising the electromagnetic field and in the physical interpretation of the wavefunction of its quanta. Further, the first quantisation of the Maxwell equations similar to quantisation of classical mechanics by the Schrodinger method, has not been discussed in most books on quantum mechanics. Second, the Maxwell field is the simplest gauge field possessing symmetry with respect to Poincare group of transformations in addition to scale, duality and special conformal transformations whose local versions give rise to new interaction of photons through new gauge fields. One of these gauge fields couples to the spin density of the photon and other particles and can bind fermion-antifermion pairs to give transverse photons. Another interesting aspect of the electromagnetic field is its coherence properties and their interpretation in terms of quantised theory.

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Preface	p. ix
Introduction	p. 1
Wave Nature of Light	p. 9
Maxwell's Electromagnetic Theory	p. 10
Polarization Properties of Electromagnetic Waves	p. 11
Maxwell Equations in terms of Potentials	p. 13
Energy in an Electromagnetic Field	p. 15
Covariant Form of Maxwell Equations	p. 16
Oscillator Expansion of the Electromagnetic Field	p. 20
Radiation of Electromagnetic Waves	p. 21
Scattering of Electromagnetic Waves	p. 25
Confinement of Light	p. 27
Particle Nature of Light	p. 31
Newton's Corpuscles	p. 32
Lagrangian Formulation	p. 32
Orbits of Corpuscules	p. 34
Wavization of Corpuscular Theory	p. 36
Quantum Theory of Planck, Einstein and Bose	p. 37
Black-body Radiation	p. 38
Photo-electric Effect	p. 40
Compton Effect	p. 41
Bose's Derivation of Planck's Formula	p. 41
Mass and Spin of Photon	p. 44
Photon Mass	p. 44
Photon Spin	p. 44
Quantum Mechanics of the Photon	p. 46
Schroedinger Equation for Massive Particles	p. 46
Schroedinger Equation for Light	p. 47
Angular momentum of the Photon	p. 49
Photon Wavefunction in Configuration Space	p. 52
Photon Polarization	p. 53
Quantization of the Electromagnetic Field	p. 54
Covariant Quantization	p. 55
Gauge Fixing and Fermi Subsidiary Condition	p. 56
Gupta-Bleuler Subsidiary Condition	p. 58
Fock-Space Quantization	p. 59
Gupta-Bleuler Quantization	p. 61
Wave-Particle Duality	p. 63
Measurability of Fields	p. 65
Coherence Properties of Light	p. 66
Coherence Properties of the Classical Electromagnetic Field	p. 67
Coherence Properties of the Quantizatized Electromagnetic Field	p. 73
Symmetries of the Electromagnetic Field and Conservation Laws	p. 79
Poincare Invariance	p. 80
Scale Invariance	p. 86
Special Conformal Invariance	p. 87
Duality Invariance	p. 88
Local Symmetries and Interactions of Photons	p. 92
Interaction of Charged Particles with Photon	p. 93
Local Chiral Invariance of Massless Dirac Equation	p. 95
Local Duality Invariance	p. 96
Local Scale Invariance	p. 98
Local Lorentz Invariance	p. 100
Photon as a Composite Particle	p. 103
Fermi-Yang Model for Pion	p. 104
Model for Photon	p. 105
Model for Electron and Neutrino	p. 108
Electron Decay	p. 109
References	p. 115
Author Index	p. 120
Subject Index	p. 126
Table of Contents provided by Syndetics. All Rights Reserved.

The Photon : Contemporary Fundamental Physics

Contemporary Fundamental Physics

At a Glance

Paperback

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