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Prog. Theor. Phys. Vol. 68 No. 5 (1982) pp. 1482-1503

[ Full Text PDF : FREE ACCESS (791K) ]

Quasi-Particle Description of a Degenerate System of Bosons

Masahiko Hirooka and Shuichiro Yamasaki*

Department of Physics, College of General Education, Osaka University, Toyonaka 560
*College of Bio-Medical Technology, Osaka University, Toyonaka 560

(Received May 21, 1982)

Abstract:

The infrared divergence of the interaction among Bogoliubov's quasi-particles in a degenerate boson system can be avoided by introducing improved quasi-particles. A formula is given which relates the single-particle operators aP directly to the improved quasi-particle operators bP, which have been defined in terms of collective, variables in a preceding paper. The operators aP are expressed in terms of bP as a series using N-1/2 as a formal expansion parameter, where N is the number of particles in the system. Terms up to order N-3/2 are given together with a term of order N-2 which is necessary for the calculation of the ground-state energy to order N-2. The formula makes the reason clear why the operators bP enable us to eliminate the ultraviolet divergence haunting collective theories including the quantum hydrodynamics.


URL : http://ptp.ipap.jp/link?PTP/68/1482/
DOI : 10.1143/PTP.68.1482

[ Full Text PDF : FREE ACCESS (791K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 72 No. 3 (1984) pp. 441-455 :
    A Microscopic Theory of Superfluids. I
    Shuichiro Yamasaki
  2. Progress of Theoretical Physics Vol. 73 No. 3 (1985) pp. 598-614 :
    A Microscopic Theory of Superfluids. II
    Shuichiro Yamasaki

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