A Hartree Self Consistent Method for the Scattering of Positrons by Hydrogen
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 13.71
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book delves into the complexities of positron scattering, a fascinating phenomenon that occurs when positrons interact with hydrogen atoms. The author meticulously formulates a self-consistent method using a wave function that incorporates correlations and adheres to asymptotic boundary conditions. Through this innovative approach, the author unveils the intricate relationship between the scattering process and the induced multipole potential, providing a deeper understanding of the underlying dynamics. Notably, the author demonstrates that the approximation of the scattering process to the adiabatic approximation, a commonly used technique, is valid under certain conditions. This book offers a significant contribution to our understanding of positron scattering, showcasing the power of self-consistent methods in unraveling the complexities of atomic interactions. 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 # 9781333041144_0
- Title
- A Hartree Self Consistent Method for the Scattering of Positrons by Hydrogen
- Author
- Richard S. Ruffine
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1333041144
- ISBN 13
- 9781333041144
- Seller catalogs
- Quantum Mechanics
Our aim has been to develop a method whereby the self - consistent features of the Hartree approach can be incorporated into a form.for the wave function which will contain correlations and satisfy the asymptotic boundary conditions. We have accomplished this by adding a sum of products of one particle functions to a product of the unperturbed bound state wave function and a function which will have the proper asymp totic form for a scattered particle. By requiring the terms in the sum to vanish at large distances, we have been able to obtain a set of coupled differential equations for the one particle functions. We can show that these differential equations lead to an effective one-particle Hamiltonian for the scattered particle in which the potential is made up of a sum of induced multipole potentials. We can also show that with a suitable set of approximations, the equations reduce to the adiabatic approximation.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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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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Forgotten Books publishes hundreds of thousands of rare and classic books.
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
The digital edition of all books may be viewed before purchase if you request a sample.
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