Abstract
An exact formal solution is obtained to the problem of a system of fermions in interaction. This solution is expressed in a form which avoids the problem of unlinked clusters in manybody theory. The technique of Feynman graphs is used to derive the series and to define linked terms. The graphs are those appropriate to a system of many fermions and are used to give a new derivation of the Hartree-Fock and Brueckner methods for this problem.
Keywords
FermionFeynman diagramSeries (stratigraphy)Many-body problemMathematicsTheoretical physicsPhysicsMathematical physicsQuantum mechanics
Affiliated Institutions
Related Publications
Note on an Approximation Treatment for Many-Electron Systems
A perturbation theory is developed for treating a system of n electrons in which the Hartree-Fock solution appears as the zero-order approximation. It is shown by this developme...
Reliable Perturbative Results for Strong Interactions?
An explicit calculation shows perturbation theory to be arbitrarily good for the deep Euclidean Green's functions of any Yang-Mills theory and of many Yang-Mills theories with f...
Analysis of Charge Distributions: Hydrogen Fluoride
Electron density maps and their appropriately weighted analogs (e.g., dipole-weighted density map) are found to provide a consistent and useful tool for the analysis and the com...
Fixed-node Monte Carlo study of the two-dimensional Hubbard model
The fixed-node Monte Carlo method is extended to lattice fermion models. This method replaces the problem of finding the ground state of a many-fermion system by an effective ei...
Electronic structure of Mott insulators
Abstract Mott insulators are identified here with ordinary magnetic insulators. The insulating gap, local moment, and effective spin hamiltonian aspects are qualitatively explai...
Publication Info
- Year
- 1957
- Type
- article
- Volume
- 239
- Issue
- 1217
- Pages
- 267-279
- Citations
- 1250
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
1250
OpenAlex
Cite This
Jeffrey Goldstone
(1957).
Derivation of the Brueckner many-body theory.
Proceedings of the Royal Society of London A Mathematical and Physical Sciences
, 239
(1217)
, 267-279.
https://doi.org/10.1098/rspa.1957.0037
Identifiers
- DOI
- 10.1098/rspa.1957.0037