Statistical approach to the domain of action of collective co-ordinates in the many body problem

J. K. Percus, G. J. Yevick

Research output: Contribution to journalArticle

Abstract

The collective co-ordinates have a mathematical boundary whose nature is investigated in this paper. This is accomplished by comparing expressions for the partition function in collective co-ordinate space and configuration co-ordinate space. The resulting decomposition of the collective space into two-dimensional subspaces, whose extent is independent of wave-number, permits approximation to many body correlations. It also implies a new simple approximation to the many body partition function, some consequences of which are examined.

Original languageEnglish (US)
Pages (from-to)1057-1073
Number of pages17
JournalIl Nuovo Cimento Series 10
Volume5
Issue number5
DOIs
StatePublished - May 1957

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

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