August 15, 1959Physical Review
Self-Consistent Field Approach to the Many-Electron Problem
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Implication
Randomized trial shows equivalence of self-consistent field method for many-electron systems, indicating its effectiveness in modeling complex interactions.
Key Points
- This paper aims to demonstrate the equivalence of the self-consistent field method and the Sawada-Brout treatment for many-electron systems.
- Analyzed the many-electron Hamiltonian within a self-consistent field framework.
- Applied approximations characteristic of the Sawada-Brout scheme including factorization and linearization.
- Calculated the frequency-dependent dielectric constant for both free-electron gas and real solids.
- Obtained a complex, frequency-dependent dielectric constant matching previous results by Nozières and Pines.
- Validated that the equation of motion for pair creation operators corresponds to the one-particle density matrix behavior.
- Discussed the plasma dispersion relation in solids at long wavelengths.
Cite This Study
Ehrenreich et al. (1959) studied this question.