The Green's Function Method for Quantum Corrections to the Thomas-Fermi Model
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$ 17.39
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Add to basketItem description from seller
Print on Demand. This book provides a systematic method for solving the Thomas-Fermi model of the atom. The Thomas-Fermi model is a well-known approximation method used in quantum mechanics to describe the electronic structure of atoms. It is based on the assumption that the electrons in an atom move independently of each other in a self-consistent field. This book derives the Thomas-Fermi model from the many-body description of the atom, which takes into account the interactions between the electrons. The author shows that the Thomas-Fermi model is a good approximation for atoms with a large number of electrons. The book also discusses the quantum corrections to the Thomas-Fermi model, which are necessary to account for the effects of electron correlation. 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 # 9781332133420_0
- Title
- The Green's Function Method for Quantum Corrections to the Thomas-Fermi Model
- Author
- Gene A. Baraff, Sidney Borowitz
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332133428
- ISBN 13
- 9781332133420
- Seller catalogs
- Quantum Mechanics
This work presents a systematic derivation that starts from the quantum many-body equations and shows how the Thomas-Fermi density appears as the leading term. It uses the Green's function formalism to connect ground-state properties with a practical, mixed position-momentum representation, and it discusses how higher-order corrections can be generated and interpreted. The discussion keeps the focus on core ideas while outlining how correlation effects might be included in future extensions.
- See how the Hartree-Fock approximation arises from the antisymmetric product of one-particle Green's functions.
- Learn how the zeroth-order term yields the Thomas-Fermi density and how the density is recovered from Green's functions.
- Understand how exchange and inhomogeneity effects appear together in the first non-vanishing correction to the Thomas-Fermi model.
- Explore the role of the mixed representation and the infinite-order differential operator that connects the Green's function to the original equations.
Ideal for readers of quantum many-body theory, atomic structure, and theoretical physics who want a clear path from a foundational model to its quantum corrections.
"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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