A Variational Calculation of the Elastic: Scattering of Electrons, by Hydrogen Atoms (Classic Reprint) - Softcover
Inhaltsangabe
Explore a practical approach to electron-hydrogen collisions using a variational lens that clarifies cross-section calculations. This work applies Schwinger’s variational expression to elastic scattering, showing how Born trial fields can make complex integrals tractable and improve results over the ordinary Born approximation at low energies.
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.
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A Variational Calculation of the Elastic: Scattering of Electrons
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Paperback. Zustand: New. 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. print-on-demand item. Bestandsnummer des Verkäufers 9781332208982_0
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A Variational Calculation of the Elastic Scattering of Electrons, by Hydrogen Atoms Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332208982
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A Variational Calculation of the Elastic Scattering of Electrons, by Hydrogen Atoms Classic Reprint
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A Variational Calculation of the Elastic: Scattering of Electrons, by Hydrogen Atoms (Classic Reprint)
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Paperback. Zustand: Brand New. 72 pages. 9.00x6.00x0.17 inches. This item is printed on demand. Bestandsnummer des Verkäufers zk1332208983
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VARIATIONAL CALCULATION OF THE
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Zustand: New. KlappentextrnrnExcerpt from A Variational Calculation of the Elastic: Scattering of Electrons, by Hydrogen AtomsOne of the important problems of upper atmospheric and astrophysical research is the determination of the frequencies of coll. Bestandsnummer des Verkäufers 2147934355
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