| Basics of Collisions | p. 1 |
| Collision Cross Section | p. 1 |
| Types of Collisions | p. 3 |
| The Total Cross Section | p. 6 |
| Applications of Collision Cross Sections | p. 7 |
| Laboratory and Center-of-Mass Systems | p. 8 |
| Motion of a Free Microparticle | p. 15 |
| Energy and Linear Momentum of a Free Particle | p. 15 |
| Wave Function of a Free Particle | p. 16 |
| Normalization of Plane Waves | p. 17 |
| Dirac's Bra and Ket Notation | p. 20 |
| Partial Wave Expansion of Plane Waves | p. 22 |
| Spherical Harmonics | p. 25 |
| Collision of a Free Particle with a Potential Field | p. 31 |
| Continuity Equation and Cross Section | p. 32 |
| Relationship between the Scattering Amplitude and the Scattered Wave Function | p. 35 |
| The Integral Approach | p. 37 |
| The First Born Approximation | p. 40 |
| The Second Born Approximation | p. 44 |
| The Schwinger Variational Principle | p. 46 |
| The Eikonal Approximation | p. 47 |
| The Differential Approach | p. 53 |
| Scattering by a Hard Sphere and a Three-Dimensional Potential Well | p. 59 |
| Integral Equation for R[subscript l](r) and tan [eta][subscript l] | p. 62 |
| The Distorted Wave Born Approximation | p. 64 |
| The Critical Points | p. 65 |
| The Hulthen-Kohn Variational Principle | p. 67 |
| The Atomic Units | p. 71 |
| Collision of Electrons with a Potential | p. 75 |
| Spin-Orbit Interaction Potential | p. 76 |
| Ensemble of Polarized Electrons | p. 77 |
| Direct and Spin-Flip Scattering Amplitudes | p. 83 |
| The Change in the Polarization Vector P Due to Scattering | p. 91 |
| Measurement of the Sherman Function | p. 94 |
| Collision between Two Particles | p. 99 |
| Reduction of the Two-Particle Problem | p. 99 |
| Collision between Two Distinguishable Particles | p. 101 |
| Collision between Two Identical Classical Particles | p. 101 |
| Collision between Two Identical Bosons | p. 102 |
| Collision between Two Electrons | p. 104 |
| Collision of Photons with Atoms | p. 107 |
| Photons and Electromagnetic Waves | p. 107 |
| The Electromagnetic Field in Free Space | p. 108 |
| Excitation and De-Excitation of Atoms Due to the Electromagnetic Field | p. 109 |
| The Electric Dipole Approximation | p. 113 |
| The Einstein B and A Coefficients | p. 114 |
| Dipole Selection Rules | p. 116 |
| Spin and Spin States of Photons | p. 117 |
| Optical Oscillator Strength | p. 123 |
| Photoionization of Atoms | p. 125 |
| K-Shell Photoionization of Atoms | p. 130 |
| The Fano Effect | p. 131 |
| Collision of Electrons with Atoms: The Integral Approach | p. 139 |
| The Basic Equations | p. 139 |
| The First Born Approximation | p. 143 |
| Effect of Electron Spin on Collisions | p. 157 |
| The First-Order Exchange Amplitude | p. 167 |
| Ionization of Atoms in the First Born Approximation | p. 170 |
| The Second-Order Scattering Term | p. 186 |
| Higher-Order Scattering Terms | p. 196 |
| Collision of Electrons with Atoms: The Differential Approach | p. 213 |
| The Basic Differential Equation | p. 213 |
| The Static Field Approximation | p. 215 |
| The Two-State Approximation | p. 218 |
| The Static Field and Polarization Approximation | p. 223 |
| The Static Field and Exchange Approximation | p. 227 |
| The Static Field, Exchange, Polarization, and Absorption Approximation | p. 235 |
| The Distorted Wave Born Approximation | p. 247 |
| The Close-Coupling Approximation | p. 249 |
| Electron Impact Excitation of Atoms: The Electron-Photon Delayed Coincidence Technique | p. 250 |
| Collision of Electrons with Molecules | p. 263 |
| The Born-Oppenheimer Approximation and the Franck-Condon Principle | p. 264 |
| Electronic Excitation of Molecules | p. 266 |
| Electronic Wave Functions and States of Diatomic Molecules | p. 267 |
| Elastic Collision of Electrons with the Ground State Hydrogen Molecule | p. 272 |
| Excitation of the Hydrogen Molecule | p. 283 |
| Ionization of Molecules | p. 287 |
| The Differential Approach for Electron-Molecule Collisions | p. 307 |
| References | p. 333 |
| Index | p. 343 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
