A consistent approximation scheme beyond RPA for bosons

Abstract

In this paper, we develop a consistent extension of RPA for bosonic systems. In order to illustrate the method, we consider the case of the anharmonic oscillator. We compare our results with those obtained in mean-field and standard RPA approaches, with the exact ones and show that they are very close to the exact ones.

19 pages, Latex, 1 figure, accepted version in EPJA

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