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.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics