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
US$ 17.83
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
Explore a self‑consistent approach to positron scattering by hydrogen that blends Hartree theory with correlation effects.
This work presents a method that advances beyond static and perturbative models, focusing on how the scattered particle and the target atom influence each other to form a coherent, physically meaningful description of the collision.
Readers will follow how the author builds a wave function that satisfies the proper boundary conditions, derives an effective one-particle Hamiltonian, and uses variational principles to account for induced multipole interactions. The discussion includes connections to the adiabatic approximation and practical numerical techniques for solving the resulting equations.
- See how self‑consistency and correlations are incorporated into the scattering framework.
- Learn how dipole polarization and induced potentials shape the interaction at low energies.
- Understand the role of the Kohn variational principle and how it yields tractable differential equations.
- Review numerical results for s‑wave scattering and how they compare with static models and prior theories.
Ideal for readers seeking a rigorous, methodical treatment of quantum scattering in atomic systems.
"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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