Abstract
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.
Original language | English (US) |
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Pages (from-to) | 65-82 |
Number of pages | 18 |
Journal | Il Nuovo Cimento |
Volume | 5 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1957 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics