Theory of Transport Coefficients. III. Quantum Statistical Systems
1.S. Fujita and R. Abe, J. Math. Phys. 3, 350 (1962);
1.S. Fujita, J. Math. Phys. 3, 359 (1962). These will be quoted in the text as I and II, respectively., J. Math. Phys.
2.The references concerning Kubo’s formulas and diagram techniques can be found in I and II.
3.See, e.g., papers by Chester‐Thellung, Verboven, cited in I. Some incomplete investigations into the same problem as that treated here can be found in the following papers: M. I. Klinger, Soviet Phys.‐Solid State 1, 782 (1960);
3.R. Zigenlaub, Soviet Phys.‐Solid State 1, 964 (1960); , Sov. Phys. Solid State
3.Lang, Soviet Phys.‐Solid State 2, 2077 (1961)., Sov. Phys. Solid State
4.Throughout in the text the units are chosen such that where M is the mass of an electron.
5.The function defined in (2.3) is different from U in (I, 2.2b) by a factor Accordingly the following change is to be made in the prescription in I for obtaining mathematical expressions from diagrams: Treat as if the point at were below the boundary, and abolish all the rules exceptionally prescribed for the point at
6.The same is true for the case of Bose statistics.
7.A. H. Wilson, The Theory of Metals (Cambridge University Press, New York, 1954), 2nd ed., p. 258.
8.L. Van Hove, La théorie des gaz neutres el ionisés, edited by C. De Witt and J. F. Detoeuf (Hermann et Cie., Paris, 1960), p. 151.
9.I. Prigogine, Non‐Equilibrium, Statistical Mechanics (Interscience Publishers, Inc., New York, to be published).
10.K. Nishikawa, J. Phys. Soc. Japan, 15, 78 (1960).
11.See the Appendix of S. Fujita, Physica 27, 930 (1961).
12.N. M. Hugenholtz, Physica 23, 481 (1957).
13.See for an instructive review M. Dresden, Revs. Modern Phys. 33, 265 (1961).
14.I. Prigogine, Superfluidité et equation du transport quantique, edited by P. Résibois (Institute of Nuclear Science, Brussels, 1960).
15.S. Fujita, Physica 27, 940 (1961).
16.E. A. Uehling and G. E. Uhlenbeck, Phys. Rev. 43, 552 (1933).
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