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Exploiting the isomorphism between quantum theory and classical statistical mechanics of polyatomic fluids
1.For a review see D. Chandler, in Studies in Statistical Mechanics, edited by E. W. Montroll and J. L. Lebowitz (North Holland, Amsterdam, 1981).
2.The general graph theoretic treatment of molecular fluids composed of flexible polyatomic species is found in D. Chandler and L. R. Pratt, J. Chem. Phys. 65, 2925 (1976);
2.and L. R. Pratt and D. Chandler, J. Chem. Phys. 66, 147 (1977).
3.The RISM equation provides a useful device for approximate computations of equilibrium correlation functions in polyatomic fluids. See L. J. Lowden and D. Chandler, J. Chem. Phys. 61, 5228 (1974);
3.B. M. Ladanyi and D. Chandler, J. Chem. Phys. 62, 4308 (1975);
3.L. R. Pratt, C. S. Hsu, and D. Chandler, J. Chem. Phys. 88, 4202 (1978);
3.and references cited in each of these.
4.R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw‐Hill, New York, 1965).
5.R. P. Feynman, Statistical Mechanics (Benjamin, Reading, Mass., 1972), Chap. 3.
6.J. A. Barker, J. Chem. Phys. 70, 2914 (1979).
7.H. F. Jordan and L. D. Fosdick, Phys. Rev. 171, 128 (1968).
8.The use of this idea in elementary particle physics is reviewed by J. B. Kogut, Rev. Mod. Phys. 51, 659 (1979).
9.R. P. Feynman, Phys. Rev. 91, 1291 (1953).
10.For reviews, see W. H. Miller, Adv. Chem. Phys. 25, 69 (1974);
10.W. H. Miller, 30, 77 (1975)., Adv. Chem. Phys.
11.R. A. Marcus, Faraday Discuss. Chem. Soc. 55, 34 (1973), and references cited therein.
12.R. M. Stratt and W. H. Miller, J. Chem. Phys. 67, 5894 (1977);
12.R. M. Stratt, J. Chem. Phys. 70, 3630 (1979).
13.J. D. Doll and L. E. Myers, J. Chem. Phys. 71, 2880 (1979).
14.E. Wigner, Phys. Rev. 40, 749 (1932);
14.J. G. Kirkwood, Phys. Rev. 44, 31 (1933).
15.H.‐D. Meyer and W. H. Miller, J. Chem. Phys. 70, 3214 (1979).
16.See, for example, the review of the so‐called “real space” RG method: Th. Niemeijer and J. M. J. van Leeuwen, in Phase Transitions and Critical Phenomena Vol. 6, edited by C. Domb and M. S. Green (Academic, New York, 1976).
17.D. Forster, Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions (Benjamin, Reading, Mass., 1975).
18.G. Torrie and G. N. Patey, Mol. Phys. 34, 1623 (1977).
19.L. R. Pratt et al., Ref. 3.
20.J. Wilks, The Properties of Liquid and Solid Helium (Oxford University, London, 1967);
20.W. E. Keller, Helium‐3 and Helium‐A (Plenum, New York, 1969).
21.T. L. Hill, Introduction to Statistical Thermodynamics (Addison‐Wesley, Reading, Mass., 1960), Chap. 10 and Sec. 15.3.
22.K. Huang, Statistical Mechanics (Wiley, New York, 1963), Chap. 13.
23.L. D. Landau and E. M. Lifshitz, Statistical Physics, 2nd ed. (Addison‐Wesley, Reading, Mass., 1958), Sec. 77.
24.See, for example, K. Huang, Ref. 22, Sec. 12.3.
25.O. Penrose and L. Onsager, Phys. Rev. 104, 576 (1956).
26.E. M. Kosower, An Introduction to Physical Organic Chemistry (Wiley, New York, 1968), Sec. 2.6.
27.M. B. Robin and P. Day, in Advances in Inorganic Chemistry and Radiochemistry Vol. 10, edited by H. J. Emeléus and A. G. Sharpe (Academic, New York, 1967).
28.R. A. Marcus, in Special Topics in Electrochemistry, edited by P. A. Rock (Elsevier, New York, 1977).
29.R. Rossetti and L. E. Brus, J. Chem. Phys. 73, 1546 (1980).
30.For a review, see A. R. Bishop, J. A. Krumhansl, and S. E. Trullinger, Physica (Utrecht) D 1, 1 (1980).
31.L. Pauling and E. B. Wilson, Jr., Introduction to Quantum Mechanics (McGraw‐Hill, New York, 1935).
32.L. D. Landau and E. M. Lifshitz, Ref. 23, Sec. 152.
33.For a self‐consistent classical many body theory of polarization treated in terms of fluctuating internal degrees of freedom, see, for example, L. R. Pratt, Mol. Phys. 40, 347 (1980).
34.R. Lyddane, R. Sachs, and E. Teller, Phys. Rev. 59, 673 (1941).
35.For a recent discussion of the variational principle see E. P. Gross, J. Stat. Phys. 21, 215 (1979), and references therein.
36.The use of the standard Gibbs‐Bogoliubov inequalities for the basis of a variational RG calculation is discussed by L. P. Kadanoff, A. Houghton, and M. C. Yalabik, J. Stat. Phys. 14, 171 (1976).
37.R. Kubo, J. Phys. Soc. Jpn. 17, 1100 (1962).
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