Introduction to the Theory of Collisions of Electrons with Atoms and Molecules : Physics of Atoms and Molecules - S.P. Khare

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Introduction to the Theory of Collisions of Electrons with Atoms and Molecules

By: S.P. Khare

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Hardcover | 31 October 2002

At a Glance

Hardcover
376 Pages

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23.39 x 15.6 x 2.24

Hardcover

$173.32

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An understanding of the collisions between micro particles is of great importance for the number of fields belonging to physics, chemistry, astrophysics, biophysics etc. The present book, a theory for electron-atom and molecule collisions is developed using non-relativistic quantum mechanics in a systematic and lucid manner.
The scattering theory is an essential part of the quantum mechanics course of all universities. During the last 30 years, the author has lectured on the topics presented in this book (collisions physics, photon-atom collisions, electron-atom and electron-molecule collisions, "electron-photon delayed coincidence technique," etc.) at many institutions including Wayne State University, Detroit, MI, The University of Western Ontario, Canada, and The Meerut University, India. The present book is the outcome of those lectures and is written to serve as a textbook for post-graduate and pre-PhD students and as a reference book for researchers.

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Non-Fiction Science Physics Nuclear Physics Atomic & Molecular Physics Engineering & Technology Energy Technology & Engineering Electrical Engineering Astronomy, Space & Time

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.

Introduction to the Theory of Collisions of Electrons with Atoms and Molecules

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Hardcover

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