Abstract
The phase space formulation of quantum mechanics, based on quasi probability distributions in position - momentum space, is briefly reviewed with emphasis on associating the quasi probability distributions with density matrices. The relation between reduced phase space distributions and reduced density matrices is derived. The time independent Schrodinger equation is used to write the eigenvalue equation for the quasi probability distributions and hierarchy equations are derived for reduced distributions. The relation between the variational principle, the eigenvalue equation, and the representabilty of the N body distribution is discussed.
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