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 language | English (US) |
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Pages (from-to) | 1057-1073 |
Number of pages | 17 |
Journal | Il Nuovo Cimento Series 10 |
Volume | 5 |
Issue number | 5 |
DOIs | |
State | Published - May 1957 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics