A « dynamical » Lagrangian approach to the many body problem in the collective co-ordinate formulation is made possible with the aid of the two-body correlation function. As a consequence, the values of the flctitious masses and frequencies for the collective co-ordinate harmonic oscillators, which represent the physical problem, are dependent on the average motion of the system. Moreover, the introduction of the center of mass and relative co-ordinates for the q k occasions no difficulty in the present approach. In Part B of the paper, preliminary considerations are presented on the physical extent of the domain of action of q-space; various techniques are utilized to probe its structure. It is found in this way that the « diameter » of q-space is of the order of N 1/2. Application is made to the speed of sound in a fluid.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics