Interpolation method for the many-body problem

L. Kijewski, Jerome Percus

Research output: Contribution to journalArticle

Abstract

Variational principles for lower bounds to the energy, or free energy for T > 0°, of many-body systems are obtained in a form requiring density matrix minimization subject to certain model restrictions. The latter restrict the domain in which the density matrices can vary, and only utilize the energy - or free energy - for the model Hamiltonian HM. Increasingly accurate bounds are obtained as the model system begins to resemble the system of interest, and the behavior of the error as H - HM approaches zero is shown by two examples based upon the Ising model. Coupling the lower bound principle for the free energy with the standard Gibbs-Bogoliubov upper bound principle results in bounds on generalized susceptibility as well.

Original languageEnglish (US)
Pages (from-to)2184-2193
Number of pages10
JournalJournal of Mathematical Physics
Volume8
Issue number11
StatePublished - 1967

Fingerprint

many body problem
Interpolation Method
Free energy
interpolation
Free Energy
Interpolation
free energy
Density Matrix
Lower bound
Hamiltonians
Ising model
variational principles
Energy
Variational Principle
Susceptibility
Ising Model
constrictions
Vary
Model
Upper bound

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

Kijewski, L., & Percus, J. (1967). Interpolation method for the many-body problem. Journal of Mathematical Physics, 8(11), 2184-2193.

Interpolation method for the many-body problem. / Kijewski, L.; Percus, Jerome.

In: Journal of Mathematical Physics, Vol. 8, No. 11, 1967, p. 2184-2193.

Research output: Contribution to journalArticle

Kijewski, L & Percus, J 1967, 'Interpolation method for the many-body problem', Journal of Mathematical Physics, vol. 8, no. 11, pp. 2184-2193.
Kijewski, L. ; Percus, Jerome. / Interpolation method for the many-body problem. In: Journal of Mathematical Physics. 1967 ; Vol. 8, No. 11. pp. 2184-2193.
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