No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Statistical Mechanics of High‐Temperature Quantum Plasmas Beyond the Ring Approximation
1.E. W. Montroll and J. C. Ward, Phys. Fluids 1, 55 (1958).
2.(a) D. Bohm and D. Pines, Phys. Rev. 82, 625 (1951);
2.see also (b) D. Bohm and D. Pines, Phys. Rev. 85, 338 (1952).
3.H. E. DeWitt, J. Math. Phys. 3, 1216 (1962).
4.S. S. Schweber, H. A. Bethe, and F. de Hoffman, Mesons and Fields (Row, Peterson and Company, Evanston, Illinois, Vol. I, p. 81.
5.R. Abe, Progr. Theoret. Phys. (Kyoto) 22, 213 (1959).
6.E. Meeron, Phys. Fluids 1, 139 (1958).
7.(a) H. F. Friedman, Mol. Phys. 2, 23 (1959);
7.see also (b) H. F. Friedman, Mol. Phys. 2, 190, 436 (1959).
8.(a) C. Bloch and C. de Dominicis, Nucl. Phys. 7, 459 (1958);
8.see also (b) C. Bloch and C. de Dominicis, Nucl. Phys. 10, 181, 509 (1959)., Nucl. Phys.
9.E. Meeron (Ref. 6) introduced the term “nodal expansion.” A node is a particle with three or more interactions ending on it.
10.E. W. Montroll, Les Houches Summer School lecture notes, in La theorie des gaz neutres et ionises, Hermann & Cie., Paris, 1960).
11.The evaluation of and is simplified by the fact the 2! pieces of in Eq. (12) are identical so that we have . Similarly the two pieces of the Fourier transform, are identical and one sees that as defined by Eq. (15) reduces to Eq. (8).
12.If the contributions to the ring sum are neglected, the coefficient of the term is which differs from the correct value by only about 1.5%.
13.Evidently since nearly classical means low temperature, there may be some question about the validity of assuming Maxwell‐Boltzmann statistics. The importance of quantum statistics is measured by the size of the quantity where s is the particle spin. Note that assuming an arbitrarily large spin s is a way of removing particle indistinguishability from the quantum mechanical problem.
14.L. D. Landau and E. M. Lifshitz, Statistical Physics (Addison‐Wesley Publishing Company, Reading, Massachusetts, 1958), pp. 96–103. The author thanks Jan Grzesik for performing the extremely tedious calculations required for obtaining the term in Eq. (34).
15.H. E. DeWitt, J. Math. Phys. 3, 1003 (1962). Equation (52) in this paper is incorrect since it gives the high‐temperature form of and the WK expansion of the higher‐order ladders.
16.S. Brush, H. E. DeWitt, and J. Trulio, Nucl. Fusion 3, 5 (1963).
17.T. Nakayama and H. E. DeWitt, J. Quant. Spectr. Rad. Transfer 4, 623 (1964).
18.(a) A. E. Glauberman and I. R. Yukhnovskii, Dokl. Akad. Nauk SSSR 93, 999 (1953);
18.see also (b) translation, UCRL Trans. 668 (L).
19.G. Kelbg, Ann. Phys. (N.Y.) 12, 354 (1954).
20.K. Hagenow and H. Koppe, Proc. 5th Int. Conf. Ionization Phenomena in Gases, Paris 1963, p. 221.
Article metrics loading...
Full text loading...