物性論研究
Online ISSN : 1883-7808
ISSN-L : 0366-4341
量子統計における輸送現象の理論 [II]
金属電子論における Bloch の方程式について
森 肇
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ジャーナル フリー

1952 年 1952 巻 51 号 p. 55-72

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The Bloch integral equation, on which the theory of Inetallic conductivity is based, is derived from the principles of quantum-statistical mechanics. The method of second quantization is briefly summarized (§. 2) and the distribution function of electrons and the corresponding equations of motion are introduced by applying the quantized density matrix (§. 3, 4). The time average over an interval of time, which in similar to that introduced by Kirkwood in the classical theory of transport processes, is estimated by the time-dependent perturbation theory (§. 5.). The current density and the distribution function, “coarse-grained” in time, are defined (§. 6.) and the Bloch integral equation is discussed (§. 7.-§. 10).

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