A Variational Calculation of the Elastic: Scattering of Electrons
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.82
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book contributes to the study of elastic scattering of electrons by hydrogen atoms (a topic of great importance to astrophysics and upper atmospheric research) offering a variational method for calculating cross sections using Schwinger's variational expression for the direct elastic scattered amplitude. In particular, it applies the method to hydrogen atoms in the energy range 0-10 volts, which is a range currently lacking in experimental data. The methods employed in this book resolve the issue of evaluating the integrals inherent in Schwinger's variational method (which had previously made such calculations difficult) by using Born trial fields. The results of the calculations provide valuable insights into the contributions of the excited states and the continuum to the elastic scattering, and reveal the vital roles played by these factors in the polarization of the charge distribution. This book demonstrates the importance of properly accounting for the elastic effects of the atom's excited states and continuum, particularly in the absence of experimental data in this energy range. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781332208982_0
- Title
- A Variational Calculation of the Elastic: Scattering of Electrons
- Author
- Howard Boyet, Sidney Borowitz
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332208983
- ISBN 13
- 9781332208982
- Seller catalogs
- Quantum Mechanics
This edition discusses how a static Hartree field, as well as the full Green’s function, affect scattering amplitudes. It reveals how higher atomic states and the continuum contribute to polarization phenomena during collisions, and it compares variational results with exact calculations to demonstrate accuracy and limits. The text also outlines the mathematical foundation, the treatment of exchange and polarization, and the practical steps to evaluate multi-dimensional integrals involved in the method.
- Foundations of the Schwinger variational method for scattering problems.
- How Born trial fields simplify the calculation of cross-sections at low energies.
- The roles of excited states and the continuum in elastic scattering.
- A comparison of variational results with exact and Born approximations.
Ideal for readers of advanced atomic physics and researchers exploring collision theory and cross-section calculations.
"Synopsis" may belong to another edition of this title.
Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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