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Prog. Theor. Phys. Vol. 109 No. 2 (2003) pp. 213-232

[ Full Text PDF : FREE ACCESS (320K) ]

Approximate Energy Expression for Spin-Polarized Fermi Liquids

Masatoshi Takano,1 Tomoki Endo,2 Ryusuke Kimura2,* and Masami Yamada1

1Advanced Research Institute for Science and Engineering, Waseda University, Tokyo 169-8555, Japan
2Department of Physics and Applied Physics, Waseda University, Tokyo 169-8555, Japan

(Received September 17, 2002)

Abstract:

An approximate energy expression is proposed for arbitrarily spin-polarized Fermi liquids with central two-body forces. It is explicitly expressed as a functional of spin-dependent radial distribution functions and can be used conveniently in the variational method. It includes the potential energies completely and the kinetic energies up to main parts of the three-body cluster terms. This approximation is similar to that used previously for spin-unpolarized and fully polarized matter. A notable feature of this expression is that it guarantees the necessary conditions on arbitrarily spin-polarized structure functions automatically. The Euler-Lagrange equations are derived from this energy expression and are numerically solved for arbitrarily spin-polarized liquid 3He. The results for liquid 3He with the HFDHE2 potential are consistent with the nearly ferromagnetic property.


URL : http://ptp.ipap.jp/link?PTP/109/213/
DOI : 10.1143/PTP.109.213


*Present address: NEC corporation, 5-7-1, Shiba, Minato-ku, Tokyo 108-8001, Japan.

[ Full Text PDF : FREE ACCESS (320K) ] Citation:

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Citing Article(s) :

  1. 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
  2. Progress of Theoretical Physics Supplement No.156 (2004) pp. 141-142 :
    Variational Calculations for the Equation of State of Asymmetric Nuclear Matter
    Masatoshi Takano

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