Dynamical considerations on a new approach to the many-body problem

Jerome Percus, George J. Yevick

Research output: Contribution to journalArticle

Abstract

In Part A, a further analysis is made of the collective coordinate Lagrangian first introduced in a previous paper. This Lagrangian, which replaces the physical Lagrangian, describes a set of fictitious harmonic oscillators whose masses and frequencies are established. We accomplish this by adding a term to the physical Lagrangian which, however, does not affect the equations of motion. The analysis is carried out by two distinct methods: comparison of Lagrangians and comparison of equations of motion. Both methods yield identical results. In Part B, the difficult problem of representing the Dirac δ function by a finite number of terms is handled by the introduction of the d-function. A specific representation of this function is given, along with plausibility arguments that it satisfies the requirements of Part A. A brief analysis and summary of the manifold properties of the d-function is presented.

Original languageEnglish (US)
Pages (from-to)1192-1197
Number of pages6
JournalPhysical Review
Volume101
Issue number3
DOIs
StatePublished - 1956

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many body problem
equations of motion
harmonic oscillators
requirements

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Dynamical considerations on a new approach to the many-body problem. / Percus, Jerome; Yevick, George J.

In: Physical Review, Vol. 101, No. 3, 1956, p. 1192-1197.

Research output: Contribution to journalArticle

Percus, Jerome ; Yevick, George J. / Dynamical considerations on a new approach to the many-body problem. In: Physical Review. 1956 ; Vol. 101, No. 3. pp. 1192-1197.
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