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Prog. Theor. Phys. Vol. 25 No. 4 (1961) pp. 579-594

[ Full Text PDF : FREE ACCESS (1147K) ]

Geometrical Study of the Pair Distribution Function in the Many-Body Problem

Masami Yamada

Science and Engineering Research Laboratory, Waseda University, Kikui-cho, Shinjuku-ku, Tokyo

(Received November 22, 1960)

Abstract:

The properties of pair distribution functions which are independent of physical natures as statistics, temperature or potential were studied. We found that the inequalities (23) and (55) are always satisfied by the pair distribution function. Furthermore, the inequalities (9) and (45) are satisfied when the particles have hard-cores. These inequalities will serve as the subsidiary conditions in the variational treatments of many-body problems.


URL : http://ptp.ipap.jp/link?PTP/25/579/
DOI : 10.1143/PTP.25.579

[ Full Text PDF : FREE ACCESS (1147K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 342-360 :
    Variational Study of Ground State of a Bose-Einstein Fluid
    Kazuo Hiroike
  2. Progress of Theoretical Physics Vol. 56 No. 1 (1976) pp. 95-110 :
    Spin Condition in the Cluster Variation Method and Its Application to the Neutron Matter
    Hiroshi Mimura, Ichiro Homma and Masami Yamada
  3. Progress of Theoretical Physics Vol. 71 No. 5 (1984) pp. 894-905 :
    Momentum Distribution Condition in the Cluster Variation Method
    Hiroshi Mimura and Masami Yamada
  4. Progress of Theoretical Physics Vol. 88 No. 6 (1992) pp. 1131-1145 :
    Necessary Conditions on Spin-Isospin-Dependent Liquid Structure Functions of Fermion Systems
    Masatoshi Takano and Masami Yamada

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