
Light-Matter Interaction Atoms and Molecules in External Fields and Nonlinear Optics
by Hill, Wendell T.; Lee, Chi H.Buy New
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Summary
Author Biography
Table of Contents
Preface | p. XIII |
Light-Matter Interaction: Atoms, Molecules and External Fields | p. 1 |
Hydrogen-Like Ion: An Atom (Ion) With One Electron | p. 3 |
Bohr Model of the Atom | p. 4 |
Hydrogen-Like Ions, Quantum Approach: Bound States | p. 7 |
Angular Wavefunctions | p. 7 |
Radial Wavefunction and Energy States | p. 10 |
Exact Radial Solution, Hydrogen-Like Ions | p. 23 |
Energy Units and Atomic States | p. 17 |
Classification of Nonrelativistic States | p. 19 |
Parity | p. 20 |
Degeneracy | p. 20 |
Corrections to the Energy Levels | p. 21 |
Relativistic Motion | p. 21 |
Electron Spin and the Dirac Equation | p. 22 |
Classification of Relativistic Hydrogen States | p. 26 |
Hydrogen-Like Ion Wavefunction Including Spin | p. 27 |
Fine Structure and Spin-Orbit Interaction | p. 28 |
Rydberg Series | p. 29 |
Continuum States | p. 30 |
Further Reading | p. 31 |
Problems | p. 31 |
The Structure of the Multielectron Atom | p. 33 |
Overview | p. 33 |
Angular Momentum Coupling Schemes | p. 40 |
LS or Russell-Saunders Coupling | p. 40 |
jj Coupling | p. 45 |
Intermediate or Pair Coupling | p. 45 |
Recoupling Between Coupling Schemes | p. 48 |
Fine Structure | p. 49 |
Further Reading | p. 51 |
Problems | p. 51 |
Atoms in Static Fields | p. 53 |
External Electric and Magnetic Fields | p. 53 |
Stark Effect | p. 53 |
Linear Stark Effect | p. 57 |
Quadratic Stark Effect | p. 59 |
Zeeman Effect | p. 60 |
Hyperfine Structure | p. 61 |
Magnetic Interaction | p. 61 |
Explicit Expression for A[subscript l] | p. 62 |
Hyperfine Zeeman Effect | p. 65 |
Electric Quadrupole Correction | p. 65 |
Further Reading | p. 66 |
Problems | p. 66 |
Atoms in AC Fields | p. 69 |
Applied EM Fields | p. 69 |
Radiation Hamiltonian | p. 69 |
Coulomb or Radiation Gauge | p. 71 |
Free-Electron Wavefunction | p. 71 |
Radiative Transitions | p. 72 |
One-Photon Transitions | p. 74 |
Two-Photon Transitions | p. 75 |
Transition Rate: Fermi's Golden Rule | p. 76 |
Degeneracy | p. 78 |
Narrow and Broad Sources | p. 79 |
Transition Strength: Absorption | p. 79 |
Line Strength | p. 73 |
Cross Section | p. 80 |
Oscillator Strength | p. 80 |
Transition Strength: Emission | p. 81 |
Selection Rules for Atomic Transitions | p. 82 |
Electric Dipole (E1) Transitions | p. 82 |
Magnetic Dipole (M1) Transitions | p. 84 |
Electric Quadrupole (E2) Transitions | p. 84 |
Atomic Spectra | p. 85 |
Rydberg Series | p. 85 |
Autoionization | p. 89 |
Photoionization with Intense Lasers | p. 92 |
Further Reading | p. 94 |
Problems | p. 94 |
Diatomic Molecules | p. 97 |
The Hamiltonian | p. 98 |
Born-Oppenheimer Approximation | p. 99 |
Nuclear Equation | p. 101 |
Harmonic Approximation of U(R) | p. 102 |
Beyond the Harmonic Approximation of U(R) | p. 104 |
Vibrating Rotator | p. 105 |
Analytic Expression for U(R) | p. 107 |
More Accurate Techniques | p. 107 |
Electronic States | p. 109 |
Angular Momenta in Cylindrically Symmetric Fields | p. 110 |
Orbital Angular Momentum | p. 111 |
Spin Angular Momentum | p. 111 |
Multiplet Splitting | p. 112 |
Total Angular Momentum | p. 112 |
Labeling Nomenclature | p. 113 |
Angular Momenta Coupling: Hund's Cases | p. 114 |
Hund's Case (a) | p. 114 |
Hund's Case (b) | p. 116 |
Hund's Case (c) | p. 117 |
Hund's Case (d) | p. 118 |
Molecular Symmetries: Electronic Motion | p. 118 |
Inversion Symmetry | p. 119 |
Reflection Symmetry and [sigma] States ([Lambda] = 0) | p. 121 |
Reflection Symmetry and [Lambda NotEqual] 0 States | p. 122 |
Exchange of Nuclei | p. 122 |
Molecular Symmetries: Nuclear Motion | p. 123 |
Molecular Symmetries: Herzberg Bookkeeping Diagram | p. 123 |
The case [Characters not reproducible] | p. 124 |
The case [Characters not reproducible] | p. 124 |
Molecular Symmetries: Nuclear Spin | p. 126 |
Example | p. 127 |
Molecular State Labeling Convention | p. 128 |
Rule 1: Ground State | p. 128 |
Rule 2: Excited States with Ground-State Multiplicity | p. 128 |
Rule 3: Excited States with Different Multiplicity | p. 128 |
Molecular Orbital Theory | p. 128 |
United Atom Construction | p. 131 |
Separated Atom Construction | p. 132 |
Further Reading | p. 135 |
Problems | p. 135 |
Molecules in External Fields | p. 137 |
Introduction | p. 137 |
Electronic Transitions | p. 137 |
General Selection Rules | p. 139 |
Case-Specific Selection Rules | p. 139 |
Hund's case (a) | p. 140 |
Hund's case (b) | p. 140 |
Hund's case (c) | p. 140 |
Hund's case (d) | p. 141 |
Examples | p. 141 |
AC Tunneling Ionization | p. 142 |
Further Reading | p. 146 |
Problems | p. 146 |
Light-Matter Interaction: Nonlinear Optics | p. 149 |
Nonlinear Optics | p. 151 |
Introduction | p. 151 |
Phenomenological Description | p. 152 |
Second-Harmonic Generation | p. 154 |
Electrooptic Effect, X[superscript (2)] (w; 0, w) | p. 156 |
Optical Rectification X[superscript (2)] (0; w, -w) | p. 157 |
Parametric Generation X[superscript (2)] (w[subscript s]; w[superscript p], w[superscript i]) | p. 158 |
Third-Order Nonlinear Effect | p. 158 |
Nonlinear d coefficient | p. 159 |
Further Reading | p. 165 |
Problems | p. 165 |
Wave Propagation | p. 167 |
Nonlinear Wave Equation | p. 167 |
Phase Matching in SHG | p. 170 |
Phase Matching of SHG in KDP | p. 171 |
Noncollinear Momentum Matching | p. 176 |
Experimental Arrangement | p. 178 |
Parametric Interaction | p. 179 |
Coupled Equations | p. 179 |
Parametric Amplification | p. 184 |
Parametric Oscillation | p. 188 |
Tuning of OPO | p. 190 |
The Manley-Rowe Relations | p. 192 |
Parametric Upconversion | p. 194 |
Problems | p. 196 |
Quantum Theory | p. 199 |
Introduction | p. 199 |
Density Matrix Formalism | p. 199 |
Perturbation Method | p. 201 |
Transition Probability | p. 203 |
Two-Photon Absorption | p. 208 |
Scattering Cross Section | p. 211 |
Three-Photon Absorption | p. 212 |
Doppler-Free Two-Photon Absorption | p. 213 |
Calculation of Susceptibility | p. 215 |
Third-Order Nonlinear Susceptibility | p. 218 |
Problems | p. 221 |
Applications | p. 223 |
Optical Harmonic Generation | p. 223 |
Theory of Light Wave at Boundary | p. 224 |
Criteria of Null Transmitted SHG | p. 228 |
Experimental Observations of the Second-Harmonic Generation at Oblique Incidence | p. 231 |
SHG due to Reflection from Media | p. 237 |
Nonlinear Electroreflectance | p. 242 |
Near-Field Second-Harmonic Microscopy | p. 244 |
Terahertz Pulse Generation | p. 250 |
Problems | p. 257 |
Appendices | |
Atomic Physics Definitions | p. 259 |
Air and Vacuum Wavelengths | p. 260 |
Wavenumber | p. 260 |
Fine-Structure Constant | p. 260 |
Atomic Energy Unit (Hartree) | p. 261 |
Rydberg Energy Unit | p. 261 |
eV Energy Unit | p. 261 |
Mass | p. 262 |
Length | p. 262 |
Atomic Velocity and Momentum | p. 263 |
Atomic Time Scale | p. 263 |
Atomic Field Strength | p. 264 |
Atomic Unit of Dipole Moment | p. 264 |
Magnetic Moments | p. 264 |
Electron Magnetic Moment | p. 264 |
Proton Magnetic Moment | p. 266 |
Neutron Magnetic Moment | p. 267 |
Magnetic Moment of the Nucleus | p. 267 |
Quadrupole Moment of the Nucleus | p. 267 |
Frequently Used AMO Quantities | p. 268 |
Mathematics Related to AMO Calculations | p. 269 |
Kronecker Delta, [delta subscript ij] | p. 269 |
Dirac Delta Function, [delta] (x - x[subscript o]) | p. 269 |
Hypergeometric Series | p. 270 |
Confluent Hypergeometric Series | p. 271 |
Associated Laguerre Polynomials | p. 271 |
Legendre and Associated Legendre Functions | p. 271 |
Spherical Harmonics | p. 273 |
Mathematical Formalism of Quantum Mechanics | p. 274 |
Summary | p. 279 |
Schrodinger's Equation in Parabolic Coordinates | p. 280 |
Voigt Line Profile | p. 283 |
Further Reading | p. 284 |
Atomic and Molecular Data | p. 285 |
NIST Online Data | p. 285 |
NIST Online Atomic Data | p. 285 |
NSIT Online Molecular Data | p. 285 |
Molecular Constants | p. 285 |
Filling Subshells | p. 286 |
Electronic Configurations | p. 287 |
Coupling Angular Momenta | p. 289 |
Two Angular Momenta and 3-j Symbols | p. 289 |
Properties of 3-j Symbols | p. 290 |
Three Angular Momenta and 6-j Symbols | p. 291 |
Four Angular Momenta and 9-j Symbols | p. 292 |
Tensor Algebra | p. 293 |
Spherical Tensors | p. 293 |
Commutation Relations | p. 294 |
Reduced Matrix Elements | p. 294 |
Matrix Elements of Products of Operators | p. 296 |
Further Reading | p. 300 |
References | p. 301 |
Index | p. 305 |
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