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Progress of Theoretical Physics

Ground-State Energy of a Many-Boson System: Density and Phase Operator Approach

Toshiyuki Nishiyama

Published Aug 1, 1975• 3 citations
Publisher
DOI
10.1143/ptp.54.384

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The momentum distribution function np is obtained for an interacting many-boson system at high density using the Rayleigh-Schrödinger perturbation theory in the scheme of the density and phase operator approach (DPO). The expression obtained has a correct form in the low momentum limit in accord with the condition first given by Gavoret and Nozières. The origin of an unphysical result found by Grest that np becomes negative for low wave numbers will be elucidated. Using the expression for np the ground-state energy is re-obtained. The result agrees completely with that given by Brueckner and Lee.

Progress of Theoretical Physics•Jul 1, 1976•0 citations
The ground-state energy of a many-boson system is obtained by the aid of a coherent-state representation in the high densigy limit. Dealing with the problem in a lattice space, some difficulties encountered in previous collective variable theories have been overcome. In particular, it is shown that Fröhlich's objection about the non-existence of the canonical conjugate to the density is not fatal to the previous theory of the density and phase operator approach. The ground-state energy obtained have agrees with that given by Brueckner and Lee.
The momentum distribution function np is obtained for an interacting many-boson system at high density using the Rayleigh-Schrödinger perturbation theory in the scheme of the density and phase operator approach (DPO). The expression obtained has a correct form in the low momentum limit in accord with the condition first given by Gavoret and Nozières. The origin of an unphysical result found by Grest that np becomes negative for low wave numbers will be elucidated. Using the expression for np the ground-state energy is re-obtained. The result agrees completely with that given by Brueckner and Lee.