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Prog. Theor. Phys. Vol. 88 No. 6 (1992) pp. 1131-1145

[ Full Text PDF : FREE ACCESS (1119K) ]

Necessary Conditions on Spin-Isospin-Dependent Liquid Structure Functions of Fermion Systems

Masatoshi Takano and Masami Yamada

Science and Engineering Research Laboratory, Waseda University, Tokyo 169

(Received June 4, 1992)

Abstract:

Spin-isospin-dependent liquid structure functions are defined in terms of the projection operators onto particular spin-isospin pair states. Then, necessary conditions on these structure functions are derived in the form of inequalities. The systems studied are liquid 3He, neutron matter, symmetric nuclear matter, asymmetric nuclear matter, and partialy spin-polarized asymmetric nuclear matter. More than one inequalities is obtained for each of these systems, and the number of the inequalities increases with increase of the spin-isospin degree of freedom. It is argued that these conditions can be used to find approximate kinetic-energy expressions of fermion systems.


URL : http://ptp.ipap.jp/link?PTP/88/1131/
DOI : 10.1143/PTP.88.1131

[ Full Text PDF : FREE ACCESS (1119K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 91 No. 6 (1994) pp. 1149-1172 :
    A Variational Method for Infinite Fermion Systems with Central Forces
    Masatoshi Takano and Masami Yamada
  2. Progress of Theoretical Physics Vol. 93 No. 4 (1995) pp. 745-756 :
    Approximate Energy Expression for Symmetric Nuclear Matter with Central Forces
    Masatoshi Takano
  3. Progress of Theoretical Physics Vol. 97 No. 4 (1997) pp. 569-577 :
    Refinement of the Energy Expression for Infinite Fermion Systems with Central Forces
    Masatoshi Takano, Takumi Kaneko and Masami Yamada
  4. Progress of Theoretical Physics Vol. 100 No. 4 (1998) pp. 745-771 :
    Variational Method for Infinite Nuclear Matter
    with Noncentral Forces
    Masatoshi Takano and Masami Yamada
  5. Progress of Theoretical Physics Vol. 104 No. 1 (2000) pp. 185-202 :
    Variational Method for Infinite Nuclear Matter with the Paris Potential
    Masatoshi Takano
  6. Progress of Theoretical Physics Vol. 109 No. 2 (2003) pp. 213-232 :
    Approximate Energy Expression for Spin-Polarized Fermi Liquids
    Masatoshi Takano, Tomoki Endo, Ryusuke Kimura and Masami Yamada
  7. Progress of Theoretical Physics Vol. 116 No. 3 (2006) pp. 545-571 :
    Variational Study of Asymmetric Nuclear Matter and a New Term in the Mass Formula
    Masatoshi Takano and Masami Yamada

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