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

Gene A. Baraff

Couverture souple

ISBN 10 : 1332133428 ISBN 13 : 9781332133420

Editeur : Forgotten Books, 2018

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.

A propos du livre

Présentation de l'éditeur

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Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1332133428
• ISBN 13: 9781332133420
• Reliure: Broché
• Nombre de pages: 45
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