Abstract
Adopting the separability assumption in conjunction with the hypernetted-chain approximation and the minimum principle of Helmholtz free energy based on the trial density matrix expressed in terms of Jastrow-type wave functions, a set of coupled Euler-Lagrange equations are obtained for the radial distribution function, structure function, excitation spectrum and occupation number of a quantum fluid at finite temperatures. Numerical solutions of these functions are determined through a generalization of the linearized variational calculation method. The behavior of these functions as the temperature and density is varied in two dimensions is similar to three-dimensional experimental data.
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