The Green's Function Method for Quantum Corrections to the Thomas-Fermi Model of the Atom (Classic Reprint)

Gene A. Baraff

ISBN 10: 1332133428 / ISBN 13: 9781332133420

Published by Forgotten Books, 2015

About this Item

Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.

Seller Inventory # 26058086/1

Bibliographic Details

• Title: The Green's Function Method for Quantum Corrections to the Thomas-Fermi Model of the Atom (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2015
• Language: English
• ISBN 10: 1332133428
• ISBN 13: 9781332133420
• Binding: Soft cover
• Condition: Hervorragend
• Seller catalogs:
  • Bücher

About this title

Synopsis

Uncover how Green's functions bridge many-body theory and the Thomas-Fermi model, starting from Hartree-Fock and moving to corrections that include exchange and inhomogeneity.

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.