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10 - Relativistic covariant statistical mechanics of many particles

Published online by Cambridge University Press:  05 August 2015

William C. Schieve  and
Lawrence P. Horwitz
William C. Schieve
Affiliation:
University of Texas, Austin
Lawrence P. Horwitz
Affiliation:
Tel-Aviv University
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Quantum Statistical Mechanics , pp. 178 - 198
Publisher: Cambridge University Press
Print publication year: 2009

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References

Balescu, R. (1964). Cargese Summer School (New York, Gordon and Breach).Google Scholar
Balescu, R. and Kotera, T. (1967). Physica 33, 558.CrossRef
Bethe, H. A. and Saltpeter, E. E. (1957). The Quantum Mechanics of One and Two Electron Atoms (New York, Academic Press).CrossRefGoogle Scholar
Bogoliubov, N. N. (1946). Problems Dynamical in Statistical Physics, trans. E. K., Gora, in Studies in Statistical Mechanics I, ed. G. E., Uhlenbeck and J., de Boer (Amsterdam, North Holland).Google Scholar
Boltzmann, L. (1872). Lectures on Gas Theory, trans. S. G., Brush (Berkeley, University of California Press).Google Scholar
Burakovski, L. and Horwitz, L. P. (1993). Physica A 201, 666.CrossRef
Burakovski, L. and Horwitz, L. P. (1997). Nucl. Phys. A614, 373.CrossRef
Burakovski, L., Horwitz, L. P. and Schieve, W. C (1996a). Phys. Rev. D 54, 4029.CrossRef
Burakovski, L., Horwitz, L. P. and Schieve, W. C (1996b). Mass-Proper Time Uncertainty Relations in a Manifestly Covariant Relativistic Statistical Mechanics.Preprint.Google Scholar
Cook, J. L. (1972). Aust.J.Phys. 25, 117.CrossRef
de Groot, S. R., van Leeuwen, C K. and van Weert, G. (1980). Relativistic Kinetic Theory (New York, North-Holland).Google Scholar
Ehlers, J. (1974). In Lectures in Statistical Physics 28, ed. W. C, Schieve and J. S., Turner (New York, Springer).CrossRefGoogle Scholar
Fanchi, J. R. (1993). Parametrized Relativistic Quantum Theory (Dordrecht, Kluwer).CrossRefGoogle Scholar
Feynman, R. P. (1949). Phys. Rev. 76, 746.
Goldstein, H. (1980). Classical Mechanics, 2nd edn. (Reading Mass., Addison-Wesley).Google Scholar
Hakim, R. (1967). J. Math. Phys. 8, 1315, 1379.CrossRef
Havas, P. (1965). Statistical Mechanics ofEquilibrium and Non-Equilibrium, ed. Meixner (Amsterdam, North-Holland).Google Scholar
Horwitz, L. P. and Lavie, Y. (1982). Phys. Rev. D 26, 819.CrossRef
Horwitz, L. P. and Piron, C (1973). Helv. Physica Acta 46, 316.
Horwitz, L. P., Schieve, W. C. and Piron, C. (1981). Ann. Phys. (N.Y.) 137, 306.CrossRef
Horwitz, L. P., Shashoua, S. and Schieve, W. C. (1989). Physica A 161, 300.CrossRef
Hudson, R. (1974). Rep. Math. Phys. 6, 249.CrossRef
Jüttner, F. (1911). Ann. Phys. (Leipzig) 34, 856.CrossRef
Kandrup, H. (1984). Ann. Phys. (N.Y.) 153, 44.CrossRef
Liboff, R. L. (1998). Kinetic Theory, 3rd edn. (New York, Springer).Google Scholar
McLennan, J. A. (1989). Introduction to Non-equilibrium Statistical Mechanics (New York, Prentice Hall).Google Scholar
Pauli, W. (1958). Theory of Relativity (New York, Pergamon).Google Scholar
Shuryak, E. V. (1988). The QCD Vacuum, Hadrons and Superdense Matter (Singapore, World Scientific).CrossRefGoogle Scholar
Stueckelberg, E. C. G. (1941). Helv. Phys. Acta 14, 588.
Synge, J. L. (1957). Relativistic Gas Theory (Amsterdam, North-Holland).Google Scholar
Taylor, J. R. (1972). Scattering Theory (New York, Wiley).Google Scholar
Tolman, R. C. (1967). Principles of Statistical Mechanics (London, Oxford University Press), reprinted by Dover.Google Scholar
Trump, M. A. and Schieve, W. C. (1999). Classical Relativistic Many-Body Dynamics (Dordrecht, Kluwer).CrossRefGoogle Scholar
Wigner, E. P. (1932). Phys. Rev. 40, 2127.CrossRef

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