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Molecular Quantum Electrodynamics

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Molecular Quantum Electrodynamics Cover

 

Synopses & Reviews

Publisher Comments:

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.

Book News Annotation:

Reprint of a 1984 work providing a systematic introduction to this highly specialized subject. Coverage includes formal derivations of the quantized field matrix elements for many laser-molecule interaction effects, Rayleigh and Raman scattering, non-linear optical processes, self-interactions, and transformations and multipolar electrodynamics.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

Self-contained, systematic introduction examines application of quantum electrodynamics to interpretation of optical experiments on atoms and molecules and explains the quantum theory of electromagnetic radiation and its interaction with matter.

Synopsis:

Of equal value to students and experts, this self-contained, systematic introduction features formal derivations of the quantized field matrix elements for numerous laser-molecule interaction effects: one- and two-photon absorption and emission, Rayleigh and Raman scattering, linear and nonlinear optical processes, the Lamb shift, and much more.

Table of Contents

Preface

Chapter 1 Introduction

1.1 The Nature of Electrodynamics

1.2 Maxwell's Equations for the Macroscopic Field

1.3 The Microscopic Field Equations

1.4 The Electromagnetic Potentials

1.5 Lorentz and Coulomb Gauges

1.6 Quantum Mechanics of a System of Charges

1.7 "Classical Electrodynamics, Quantum Electrodynamics and Semiclassical Electrodynamics"

Chapter 2 The Electromagnetic Field in Free Space

2.1 The Classical Electromagnetic Field in a Region Free of Sources

2.2 "Electromagnetic Waves in a "Box"

2.3 "Linear, Elliptical and Circular Polarization"

2.4 Lagrangian and Hamiltonian for the Free Field

2.5 The Electromagnetic Field as a Sum of Mode Oscillators

2.6 Quantization of the Harmonic Oscillator

2.7 A System of Oscillators

2.8 Quantization of the Free Field

2.9 Summations Over Wave Vectors and Polarizations

2.10 Uncertainty Relations. Fluctuations of the Vacuum Fields

2.11 Coherent States

2.12 Coherent States as States of Minimum Uncertainty

2.13 Thermal and Chaotic States

Chapter 3 Particles and Fields

3.1 Transverse and Longitudinal d-dyadics

3.2 Molecules and Fields: Lagrangian Formulation

3.3 Molecules and Fields: Hamiltonian Formulation

3.4 Instantaneous and Retarded Interactions

3.5 Quantization of the Coupled System

3.6 The Electric Dipole Approximation

3.7 A Higher Approximation

Chapter 4 One-Photon Absorption and Emission

4.1 Introduction

4.2 Time Development in a Two-State Model

4.3 Time Evolution and Time-Dependent Perturbations

4.4 An Application: the Steady Perturbation

4.5 Time-Dependent Perturbations Treated by Dirac's Method

4.6 A Discrete State Coupled to a Continuum. The Fermi Golden Rule

4.7 One-Photon Absorption

4.8 The Einstein B-coefficient

4.9 Relaxation of the Number State Assumption

4.10 The Sum Rule for Oscillator Strengths

4.11 Spontaneous Emission and the Einstein A-coefficient

4.12 Stimulated (Induced) Emission

4.13 Magnetic Dipole and Electric Quadrupole Transitions

  4.13A Magnetic dipole allowed transitions

  4.13B Electric quadrupole allowed transitions

  4.13C Interference effects

4.14 Equivalence of Matrix Elements in Minimal Coupling and Multipolar Formalisms

4.15 Calculation of the 2p ? 1s Transition in Hydrogen with the Complete Vector Potential

4.16 Calculation of the Photoionization Rate of Hydrogen with the Complete Vector Potential

Chapter 5 Two-Photon Absorption Emission

5.1 Introduction

5.2 Two-Photon Absorption From a Single Beam

5.3 Two-Photon Absorption From Two Beams

5.4 Selection Rules for Two-Photon Absorption and Emission

5.5 Doppler-Free Spectroscopy

5.6 Two-Photon Emission

5.7 Two-Photon Stimulated Emission

5.8 Equivalence of Two-Photo Matrix Elements

Chapter 6 Rayleigh and Raman Scattering

6.1 Two-Photo Scattering. The Kramers-Heisenberg Dispersion Formula

6.2 Rayleigh Scattering

6.3 Rayleigh Scattering by Randomly Oriented Molecules

6.4 Raman Scattering

6.5 Raman Intensities

6.6 Stimulated and Inverse Raman Scattering

Chapter 7 Interactions Between Molecules

7.1 Introduction

7.2 The Resonance Interaction in Electric Dipole Approximation

7.3 Resonance Interaction in the Minimal Coupling Method

7.4 The Dispersion Energy

7.5 The Wave-zone Limit: Casimir-Polder Potential

7.6 The Near-zone Limit: London Potential

7.7 Dispersion Energy. The Complete Potential

7.8 Interaction Between Permanent Dipoles

7.9 Chiral Discrimination. The Resonance Interaction Between Chiral Systems

7.10 Chiral Discrimination. Discriminatory Dispersion Interactions in the Wave-zone

7.11 Discriminatory Dispersion Interactions in the Near-zone

7.12 Intermolecular Interactions in a Radiation Field

7.13 Radiation-induced Chiral Discrimination

Chapter 8 Optical Activity

8.1 Introduction

8.2 Circular Dichroism

8.3 Inclusion of Electric Quadrupole Interactions

8.4 A Two-State Model for Optical Rotation

8.5 Calculation of the Matrix Element for Optical Rotation

8.6 Differential Rayleigh and Raman Scattering of Circularly Polarized Light

8.7 Quadrupole Contributions to Differential Scattering

8.8 Magnetic Circular Dichroism

8.9 The Two-Group Model for Circular Dichroism

8.10 The Two-Group Model for Optical Rotation

8.11 Induced Circular Dichroism

Chapter 9 Non-Linear Optical Processes

9.1 Harmonic Generation

9.2 Static Field-Induced Second Harmonic Generation

9.3 Hyper-Raman Scattering

9.4 Selection Rules for Hyper-Raman Scattering

9.5 Laser-Induced Circular Dichroism

9.6 "The Field "Dressing" Approach to Laser-Induced Circular Dichroism"

9.7 Laser-Induced Optical Rotation

9.8 Laser-Induced Resonance Fluorescence

9.9 The Optical Kerr Effect

9.10 Coherent anti-Stokes Raman Scattering (CARS)

Chapter 10 Transformations and Multipolar Electrodynamics

10.1 Introduction

10.2 The Electric Polarization Field

10.3 The Magnetization Field

10.4 Partitioning of the Current Density

10.5 The Multipolar Lagrangian

10.6 Atomic Field Equations

10.7 The Multipolar Hamiltonian

10.8 Cancellation of the Intermolecular Interactions in the Multipolar Hamiltonian

10.9 Canonical Transformations

10.10 The Multipolar Hamiltonian by the Canonical Transformation Method

10.11 Equivalence of Matrix Elements

10.12 Canonical Transformation and Perturbation Theory

10.13 The Röntgen Current

Chapter 11 Self-Interactions

11.1 Introduction

11.2 Static Self-Energy

11.3 The Transverse Self-Energy of the Free Electron

11.4 Mass Renormalization by Canonical Transformation

11.5 Mass Renormalization in the Multipolar Formalism

11.6 The Lamb Shift

11.7 Lamb Shift Calculated by Canonical Transformation

11.8 Lamb Shift via the Multipolar Hamiltonian

Appendix 1 Proofs of Three Identities for Non-commuting Operators

Appendix 2 Rotational Averaging of Tensors

Appendix 3 Principal Equations Expressed in Gaussian Units

Index

Product Details

ISBN:
9780486402147
Author:
P Aig, D. O.
Author:
Craig, D. P.
Author:
Chemistry
Author:
Thirunamachandran, T.
Publisher:
Dover Publications
Location:
Mineola, N.Y. :
Subject:
Chemistry - General
Subject:
Electricity
Subject:
Dynamics
Subject:
Chemistry - Physical & Theoretical
Subject:
Chemistry, physical and theoretical
Subject:
Molecular dynamics
Subject:
Quantum electrodynamics
Subject:
Electricity-General Electricity
Edition Description:
Trade Paper
Series:
Dover Books on Chemistry
Publication Date:
19980131
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
336
Dimensions:
9.25 x 6.13 in 0.96 lb

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Science and Mathematics » Chemistry » General
Science and Mathematics » Electricity » General Electricity
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » Logic and Philosophy
Science and Mathematics » Physics » General

Molecular Quantum Electrodynamics New Trade Paper
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$19.95 In Stock
Product details 336 pages Dover Publications - English 9780486402147 Reviews:
"Synopsis" by ,
Self-contained, systematic introduction examines application of quantum electrodynamics to interpretation of optical experiments on atoms and molecules and explains the quantum theory of electromagnetic radiation and its interaction with matter.

"Synopsis" by ,
Of equal value to students and experts, this self-contained, systematic introduction features formal derivations of the quantized field matrix elements for numerous laser-molecule interaction effects: one- and two-photon absorption and emission, Rayleigh and Raman scattering, linear and nonlinear optical processes, the Lamb shift, and much more.
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