Molecular Quantum Electrodynamics

by D. P. Craig, T. Thirunamachandran

Overview

This systematic introduction to quantum electrodynamics focuses on the interaction of radiation with outer electrons and nuclei of atoms and molecules, answering the long-standing need of chemists and physicists for a comprehensive text on this highly specialized subject.Geared toward postgraduate students in the chemical sciences who require an understanding of quantum electrodynamics as applied to the interpretation of optical experiments on atoms and molecules, the text offers a detailed explanation of the quantum theory of electromagnetic radiation and its interaction with matter. It features formal derivations of the quantized field matrix elements for an amazing number of laser-molecule interaction effects: one- and two-photon absorption and emission; Rayleigh and Raman scattering; dispersion forces in a radiation field; radiation-induced chiral discrimination; both linear and nonlinear optical processes such as Coherent Anti-Stokes Raman Scattering (CARS) and laser-induced optical rotation; self-energy; and the Lamb shift.Virtually a one-volume encyclopedia, this self-contained book starts with first principles, making it useful both for students and experts in the field. Molecular physicists, quantum chemists, chemical physicists, and theoretical chemists will find essential calculation techniques explained with the greatest clarity.

Product Details

ISBN-13:	9780486135632
Publisher:	Dover Publications
Publication date:	10/16/2012
Series:	Dover Books on Chemistry
Sold by:	Barnes & Noble
Format:	eBook
Pages:	336
File size:	25 MB
Note:	This product may take a few minutes to download.

About the Author

D. P. Craig and T. Thirunamachandran

Table of Contents

PrefaceChapter 1 Introduction1.1 The Nature of Electrodynamics1.2 Maxwell's Equations for the Macroscopic Field1.3 The Microscopic Field Equations1.4 The Electromagnetic Potentials1.5 Lorentz and Coulomb Gauges1.6 Quantum Mechanics of a System of Charges1.7 "Classical Electrodynamics, Quantum Electrodynamics and Semiclassical Electrodynamics"Chapter 2 The Electromagnetic Field in Free Space2.1 The Classical Electromagnetic Field in a Region Free of Sources2.2 "Electromagnetic Waves in a "Box"2.3 "Linear, Elliptical and Circular Polarization"2.4 Lagrangian and Hamiltonian for the Free Field2.5 The Electromagnetic Field as a Sum of Mode Oscillators2.6 Quantization of the Harmonic Oscillator2.7 A System of Oscillators2.8 Quantization of the Free Field2.9 Summations Over Wave Vectors and Polarizations2.10 Uncertainty Relations. Fluctuations of the Vacuum Fields2.11 Coherent States2.12 Coherent States as States of Minimum Uncertainty2.13 Thermal and Chaotic StatesChapter 3 Particles and Fields3.1 Transverse and Longitudinal d-dyadics3.2 Molecules and Fields: Lagrangian Formulation3.3 Molecules and Fields: Hamiltonian Formulation3.4 Instantaneous and Retarded Interactions3.5 Quantization of the Coupled System3.6 The Electric Dipole Approximation3.7 A Higher ApproximationChapter 4 One-Photon Absorption and Emission4.1 Introduction4.2 Time Development in a Two-State Model4.3 Time Evolution and Time-Dependent Perturbations4.4 An Application: the Steady Perturbation4.5 Time-Dependent Perturbations Treated by Dirac's Method4.6 A Discrete State Coupled to a Continuum. The Fermi Golden Rule4.7 One-Photon Absorption4.8 The Einstein B-coefficient4.9 Relaxation of the Number State Assumption4.10 The Sum Rule for Oscillator Strengths4.11 Spontaneous Emission and the Einstein A-coefficient4.12 Stimulated (Induced) Emission4.13 Magnetic Dipole and Electric Quadrupole Transitions 4.13A Magnetic dipole allowed transitions 4.13B Electric quadrupole allowed transitions 4.13C Interference effects4.14 Equivalence of Matrix Elements in Minimal Coupling and Multipolar Formalisms4.15 Calculation of the 2p ? 1s Transition in Hydrogen with the Complete Vector Potential4.16 Calculation of the Photoionization Rate of Hydrogen with the Complete Vector PotentialChapter 5 Two-Photon Absorption Emission5.1 Introduction5.2 Two-Photon Absorption From a Single Beam5.3 Two-Photon Absorption From Two Beams5.4 Selection Rules for Two-Photon Absorption and Emission5.5 Doppler-Free Spectroscopy5.6 Two-Photon Emission5.7 Two-Photon Stimulated Emission5.8 Equivalence of Two-Photo Matrix ElementsChapter 6 Rayleigh and Raman Scattering6.1 Two-Photo Scattering. The Kramers-Heisenberg Dispersion Formula6.2 Rayleigh Scattering6.3 Rayleigh Scattering by Randomly Oriented Molecules6.4 Raman Scattering6.5 Raman Intensities6.6 Stimulated and Inverse Raman ScatteringChapter 7 Interactions Between Molecules7.1 Introduction7.2 The Resonance Interaction in Electric Dipole Approximation7.3 Resonance Interaction in the Minimal Coupling Method7.4 The Dispersion Energy7.5 The Wave-zone Limit: Casimir-Polder Potential7.6 The Near-zone Limit: London Potential7.7 Dispersion Energy. The Complete Potential7.8 Interaction Between Permanent Dipoles7.9 Chiral Discrimination. The Resonance Interaction Between Chiral Systems7.10 Chiral Discrimination. Discriminatory Dispersion Interactions in the Wave-zone7.11 Discriminatory Dispersion Interactions in the Near-zone7.12 Intermolecular Interactions in a Radiation Field7.13 Radiation-induced Chiral DiscriminationChapter 8 Optical Activity8.1 Introduction8.2 Circular Dichroism8.3 Inclusion of Electric Quadrupole Interactions8.4 A Two-State Model for Optical Rotation8.5 Calculation of the Matrix Element for Optical Rotation8.6 Differential Rayleigh and Raman Scattering of Circularly Polarized Light8.7 Quadrupole Contributions to Differential Scattering8.8 Magnetic Circular Dichroism8.9 The Two-Group Model for Circular Dichroism8.