On Hugenholtz-Pines' Theory about Ground State Energy of Interacting Bosons

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概要

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• In their recently published paper Hugenholtz and Pines have developed a new method to evaluate the ground state energy of a system of interacting bosons, the merit of which consists in the elimination of the zero-momentum state and accordingly the applicability of the linked cluster expansion. Their theory, however, does not give correct results because of the undue treatment of the zero-momentum state; this will be proved in a simple example. Up to third order in coupling parameter of the ground state energy we compare the result of the usual Rayleigh-Schrodinger perturbation method with that obtained according to Hugenholtz-Pines' theory and find that the latter does not agree with the former.

• 理論物理学刊行会の論文
• 1960-12-25

著者

• Misawa Setsuo

  Institute Of Physics College Of General Education University Of Tokyo

関連論文

• Green Function Method for Electron Gas. II : Dispersion Relation of Plasmons
• On Hugenholtz-Pines' Theory about Ground State Energy of Interacting Bosons

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