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ks sandhu

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The Collective Coordinates Jacobian

Fabio MARINELLI et al.Oct 28, 2001

We develop an expansion for the Jacobian of the transformation from particlecoordinates to collective coordinates. As a demonstration, we use the lowestorder of the expansion in conjunction with a variational principle to obtainthe Percus Yevick equation for a monodisperse hard sphere system and theLebowitz equations for a polydisperse hard sphere system.

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