| Project/Area Number |
03640342
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
物性一般（含極低温･固体物性に対する理論）
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| Research Institution | Okayama University of Science |
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Principal Investigator |
MATSUBARA Takeo Okayama University of Science. Applied Physics. Professor, 理学部, 教授 (60025202)
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| Project Period (FY) |
1991 – 1992
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| Project Status |
Completed (Fiscal Year 1992)
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| Budget Amount *help |
¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1992: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1991: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | Quantum phase transition / Cluster-Bethe approximation / Renornelization theory / Hydrogen-bonded fenoelectrics / Critical phenomena / Liquid Metals / 液体金属の〓界現象 / クラスタ-近似 |
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| Research Abstract |
The basic idea of this research was originated in the course of the joint work with Prot. C. J. Thompson. of Melbourne University on a unified statistical mechanical theory of high temperrature oxide superconductivity. In this study a method named''Quantum Cluster Decimation'' is propoed to extract the effective attractive interactions between electron which may produce the superconducting phase transition by eliminating some part of freedom in the quantun system Subsequently it is proved that the method can be successfully and rigorously applied to important cases and further that the demerrit of taking only small part (cluster) of whole quantum system may be remedied by employing some self-consistent approach such as cluster-Bethe approximation. Interesting examples of application are : (1) the phase transition in hydrogen-bonded ferroelectric crystals and (2) critical phenomena in liquid metals. The freedoms uhtsh are to be eliminated in ''QCD'' method are the proton motion in the case (1) and nearly free electron motion in the case (2)
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