The Collective Coordinates Jacobian

Details The Collective Coordinates Jacobian The Collective Coordinates Jacobian

2001-10-28

arxiv.org/abs/cond-mat/0110579v1

Physics

Condensed Matter

Statistical Mechanics

7 pages

Scientific paper

10.1016/S0378-4371(02)00557-5

We develop an expansion for the Jacobian of the transformation from particle
coordinates to collective coordinates. As a demonstration, we use the lowest
order of the expansion in conjunction with a variational principle to obtain
the Percus Yevick equation for a monodisperse hard sphere system and the
Lebowitz equations for a polydisperse hard sphere system.

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