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Quantum Statistical Properties of Radiation

William H. Louisell

Published Jan 1, 1973• 2,243 citations
OpenAlex

Abstract

Dirac Formulation of Quantum Mechanics. Elementary Quantum Systems. Operator Algebra. Quantization of the Electromagnetic Field. Interaction of Radiation with Matter. Quantum Theory of Damping--Density Operator Methods. Quantum Theory of Damping--Langevin Approach. Lamb's Semiclassical Theory of a Laser [1]. Statistical Properties of a Laser. Appendices. Index.

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•Jan 1, 2016•2 citations
Dirac Formulation of Quantum Mechanics. Elementary Quantum Systems. Operator Algebra. Quantization of the Electromagnetic Field. Interaction of Radiation with Matter. Quantum Theory of Damping--Density Operator Methods. Quantum Theory of Damping--Langevin Approach. Lamb's Semiclassical Theory of a Laser [1]. Statistical Properties of a Laser. Appendices. Index.
Partial table of contents: PART I: GENERAL CONCEPTS AND METHODS OF NONLINEAR OPTICS. Electromagnetic Fields. Classical Description. The Quantized Free Radiation Field. Interaction Between Radiation and Matter. Semiclassical Description of Nonlinear Optics. Statistical and Coherence Properties of the Radiation Field and Their Measurement. Nonstationary Processes. PART II: EFFECTS AND PROCESSES OF NONLINEAR OPTICS. Nonlinear One--photon Processes in Lasers. Nonlinearities in Transient One--photon Processes. Nonlinearities and Qunatum Phenomena in Transient One--photon Processes. Multiphoton Absorption and Emission. Generation of Harmonics and Sum and Difference Frequencies. Parametric Amplification and Oscillation. Stimulated Raman Scattering. Optical Bistability. APPENDIX A: Compilation of Quantum--Theoretical Definitions and Relations. General References. Index.
An Overview of Classical Mechanics The Transition to Quantum Mechanics Classical Treatment of Electromagnetic Fields and Radiation Quantum Properties of the Field Time-Dependent Perturbation Theory, Transition Probabilities, and Scattering The Density Operator and Its Role in Quantum Statistics First-Order Radiation Processes Second-Order Processes and the Scattering of Photons Principles of Nuclear Magnetic Resonance Theory of Photon Counting Statistics Dynamic Structure Factors Linear Response Theory.
Basic Concepts. Canonical Quantization. Quantum States of the Electromagnetic Fields. Coherence of the Electromagnetic Fields. Quantum States of Atoms. Interaction between Atoms and Fields. Mathematical Methods for System-Reservoir Interaction. Stochastic Wavefunction Methods. Quantum Nondemolition Measurements. Semiconductor Bloch Equations. Excitons and Polaritons. Coulomb Blockade and Squeezing. Current Noise in Mesoscopic and Macroscopic Conductors. Nonequilibrium Green's Function Formalism. Quantum Statistical Properties of a Laser. Index.
This thesis is divided into 3 chapters supported by extensive Appendices. The first chapter gives a brief discussion on the need for the quantization of the electromagnetic field, and an introduction to its quantized form. In the second chapter, starting with a discussion on Coherent state representation, we give a brief account of some of the ‘non-classical’ properties of the radiation field, like, antibunching, sub-Poissonian statistics and squeezing, necessary for a good understanding of the material in Chapter(3).In the third and the final chapter, we analyze the effects of LASER plasma interaction on the radiation field from a Lie algebraic stand. Particularly, we analyze the emergence of non-classicality in the radiation field due to the interaction. Some of the results presented in this chapter are original and, to the extent of our knowledge, are not present in the literature.
The subject of this book is based on the compulsory course "Quantum Optics and Lasers" of the Department of "Solid State Physics" of the Faculty of Physics of the Natural Sciences School of the National and Kapodistrian University of Athens. 1. Introduction to the quantum nature of light. 2. Mechanisms of interaction of electromagnetic (EM) radiation and matter (two-level system). 3. Semiclassical approach of the interaction of EM radiation and matter. EM field: classically. Two-level system e.g. atom: quantum mechanically. 4. Quantum mechanical approach of the interaction of EM radiation and matter. EM field quantization. 5. Lasers. 6. Density matrix. 7. Some other issues for the properties and the operation of Lasers.