Dynamical Structure Factor and Elementary Excitations in Normal Liquid He^3
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概要
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The dynamical structure factor S(k,ω) and elementary excitations in normal liquid He^3 are studied by employing the memory function formalism. Canonical correlation functions and response functions for atomic number density and spin density fluctuations are treated in a self-consistent manner to express the response functions in terms of the Lindhard function (the response function of an ideal Fermi gas) and effective potentials. Exact formal expressions for the effective potentials are composed of two parts, static and dynamic, the former being a quantal version of the Percus effective potential, while the latter originating from an interaction-part of second order memory functions (ISMF). A discussion is given on the interrelation of the effective potentials in small wavenumber and small frequency regions to those obtained by solving transport equations for quasi-particles. In the evaluation of S(k,ω) a spectral function S_C(k,ω) for the atomic number density fluctuations yielding zero sound modes is calculated by taking the ISMF to be Gaussian, while that for the spin density fluctuations S_I(k,ω) giving paramagnon modes is calculated by using the static effective potential. The dynamical structure factor so obtained is compared with the experimental data of Skold et al. Fairly good agreement with the experimental result is obtained for 0.9A^<-1><k<2.0A^<-1>. In the case of S_C(k,ω) inclusion of the dynamic nature of the effective potential is shown to be essential, which shows the breakdown of the RPA as in the case of atomic dynamics in classical simple liquids.
- 理論物理学刊行会の論文
- 1979-07-25
著者
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YOSHIDA Fukuo
Research Reactor Institute, Kyoto University
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Takeno Shozo
Department Of General Education Osaka Institute Of Technology
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Yoshida Fukuo
Reseaerch Reactor Institute Kyoyo University
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Takeno Shozo
Department of Physics, Faculty of Engineering and Design Kyoto Institute of Technology
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