Pseudopotential Theory for Interionic Interaction Potentials in Metals at Non-Zero Temperature. II. Temperature Dependence of Higher Order Terms in Asymptotic Expressions

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概要

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• Asymptotic expression for Fourier transform of a regular function f(x) is estimated by transforming f(x) into ∫F(x-z)g(z)dz, where F(x) has a singularity at x=0 and the asymptotic expression for Fourier transform of F(x) is estimated by the usual Lighthill's method. As in I, the transforms are applied to derive the interaction potentials in metals at non-zero temperatures. Now F(x)=x log|x|, x^2log|x|, and x^2[log|x|]^2 are discussed, since they play important roles in deriving asymptotic expressions of interaction potentials V_3[cos (2k_Fr)/(2k_Fr)^3]+V_4[sin(2k_Fr)/(2k_Fr)^4 at zero temperature. In a previous paper, by using F(x)=1/x, the temperature dependence of the first term was considered, but now that of both terms also are done. Fourier transforms of generalized function (1/x)log|x+a| and some of related functions, for example (x+a)(x-a)log|x+a|log|x-a|, are given.

• 社団法人日本物理学会の論文
• 1994-06-15

著者

• SUGIYAMA Akira

  Department of Molecular Biology and Medicine, Research Center for Advanced Science and Technology, U

• Sugiyama A

  Department Of General Education Aichi Institute Of Technology

• Sugiyama Akira

  Department of Chemical System Engineering, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan

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