The Quantum Theory of Radiation

Hardcover | October 1, 1995

byE. R. Pike, Sarben Sarkar

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This book is unique in covering phenomena in photon-matter interactions in a unified way over a range of many orders in energy. The quantum field theoretic approach to the fully relativistic theory of quantum electrodynamics (QED) is presented together with the non-relativistic theory in bothconfined and unconfined geometries. The predictions of QED have been verified to a greater accuracy than any other physical theory. Moreover QED is a paradigm for other gauge theories and is presented in such a way that the generalisation to other gauge theories is natural. Gauge and Poincaresymmetry properties and the non-existence of a photon wave function are thoroughly discussed. Starting from the Dirac equation the non-relativistic interaction of the electron with the electromagnetic field is derived as an effective Hamiltonian of multipole expansions. Much of quantum optics is based on the lowest order dipole approximation. From this point on the treatment of fullyrelativistic QED and quantum optics is done in parallel. Applications of perturbation theory such as Compton and Moller scattering and the theory photdetection are given. After the impressive successes of QED, the limitation of the theory and the necessity of electroweak theory andquantumchromodynamics are discussed. The remaining chapters are devoted to quantum optics inside cavaties. Various approaches to open systems such as master equations are discussed within the context of active systems (e.g. the laser) and passive systems. Semi-classical approximations are shown to imply a rich non-linear dynamics including chaos for certain parameter regimes. The effect of fluctuations on such non-linear dynamics is also studied. The final chapter is devoted to highly non-classical states of the light field such as photon number,squeezed and two photon entangled states. The latter are studied for the important system of parametric down conversion and the localisation properties of photons are characterised in terms of asympotic tails in photodetection probabilities as a function of time delay. The range of the book haswider benefits. Workers in quantum optics will gain a deeper understanding of the foundations of their subject and field theorists will see concrete examples of open systems, which are beginning to impinge on fundamental theories.

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From the Publisher

This book is unique in covering phenomena in photon-matter interactions in a unified way over a range of many orders in energy. The quantum field theoretic approach to the fully relativistic theory of quantum electrodynamics (QED) is presented together with the non-relativistic theory in bothconfined and unconfined geometries. The pred...

E.R. Pike and Sarben Sarkar are both at King's College, University of London.

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Format:HardcoverDimensions:354 pages, 9.21 × 6.14 × 0.94 inPublished:October 1, 1995Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198520328

ISBN - 13:9780198520320

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Table of Contents

1. Quantization of the free Maxwell field, canonical and functional approaches2. The photon as a particle: the general one-photon state3. Electron-photon and matter-photon interactions: relativistic and non-relativistic cases4. Calculational methods for quantum electrodynamics5. Quantum electrodynamic processes6. Extensions of quantum electrodynamics7. Open systems8. Instabilities and chaos in quantum optics: semi-classical theory9. Fokker-Planck equations: quantum fluctuations10. Non-classical lightAppendix 1. Basic algebraAppendix 2. Topological structuresAppendix 3. Tensors and invariances in relativityAppendix 4. Stochastic differential equationsReferencesIndex

Editorial Reviews

`The treatment is both thorough and lucid. ... This volume will become a standard work for physicists interested in the field.'Aslib Book Guide, vol.61, no.5, May 1996.