Abstract
The properties of a Bose system of particles with repulsive interactions were previously treated using perturbation theory in the formalism of second quantization. Others also considered this problem by dealing with the wave function in configuration space, using the theory of cluster expansions. In these latter papers, variation with respect to a parameter in a trial function for the ground state was shown to yield a ground-state energy close to the exact asymptotic expressions obtained from perturbation theory. The connection between the two methods is not immediately obvious from these cluster expansion treatments. It is shown here that the cluster integral method can be handled so that it is completely equivalent to the pair approxiraation in perturbation theory. (auth)
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