The role of model systems in the few‐body reduction of the N‐fermion problem

Jerome Percus

Research output: Contribution to journalArticle

Abstract

The problem of upper and lower ground state energy bounds for many‐fermion systems is considered from the viewpoint of reduced density matrices. Model density matrices are used for upper bounds to, first uncoupled, then coupled fermions. Model Hamiltonians are developed for lower bounds in corresponding fashion. Both mathematical and physical models are constructed for setting up universally valid inequalities on density matrices. These are joined by both inequalities and equalities in which the explicit form of the system at hand is used. A few illustrative examples are presented.

Original languageEnglish (US)
Pages (from-to)89-124
Number of pages36
JournalInternational Journal of Quantum Chemistry
Volume13
Issue number1
DOIs
StatePublished - 1978

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Hamiltonians
Fermions
Ground state
mathematical models
fermions
ground state
energy

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry

Cite this

The role of model systems in the few‐body reduction of the N‐fermion problem. / Percus, Jerome.

In: International Journal of Quantum Chemistry, Vol. 13, No. 1, 1978, p. 89-124.

Research output: Contribution to journalArticle

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