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

Inhaltsangabe

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.

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