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Theory of Electron--Atom Collisions : Part 1: Potential Scattering - Philip G. Burke

Theory of Electron--Atom Collisions

Part 1: Potential Scattering

Hardcover Published: 30th April 1995
ISBN: 9780306445460
Number Of Pages: 255

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The authors aim to hone the theory of electron-atom and electron-ion collisions by developing mathematical equations and comparing their results to the wealth of recent experimental data. This first of three parts focuses on potential scattering, and will serve as an introduction to many of the concepts covered in Parts II and III. As these processes occur in so many of the physical sciences, researchers in astrophysics, atmospheric physics, plasma physics, and laser physics will all benefit from the monograph.

General Theoryp. 1
The Wave Equationp. 1
Cross Sectionsp. 2
Partial Wave Analysisp. 5
Scattering by a Coulomb Potentialp. 10
The Lippmann-Schwinger Equationp. 16
Scattering by a Complex Potentialp. 24
Approximation Methodsp. 29
The Born Seriesp. 29
Semi-classical Approximationsp. 39
Variational Methodsp. 60
The R-Matrix Methodp. 86
Analytic Properties of the Scattering Amplitudep. 103
The Jost Functions and S-Matrixp. 103
Effective Range Theoryp. 116
Dispersion Relationsp. 135
Spin and Relativistic Effectsp. 143
The Spin of the Electronp. 143
Electron Spin Polarization and the Density Matrixp. 148
Relativistic Scattering of Electrons by a Potentialp. 152
The Non-relativistic Limit of the Dirac Equation. Relativistic Corrections Through Order v[superscript 2]/c[superscript 2]p. 180
Partial Wave Analysisp. 183
Polarization Phenomenap. 191
Appendix A. Legendre Polynomials, Associated Legendre Functions and Spherical Harmonicsp. 203
Appendix B. Bessel Functions, Modified Bessel Functions, Spherical Bessel Functions and Related Functionsp. 213
Appendix C. Dalitz Integralsp. 221
Appendix D. The Density Matrixp. 225
Appendix E. Clebsch-Gordan and Racah Coefficientsp. 231
Referencesp. 241
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780306445460
ISBN-10: 0306445468
Series: Physics of Atoms and Molecules
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 255
Published: 30th April 1995
Publisher: SPRINGER VERLAG GMBH
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 1.6
Weight (kg): 0.56

Earn 474 Qantas Points
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