Skip to main content
SpringerLink
Log in

Derivation of nonlinear generalized equations of quantum relativistic hydrodynamics

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. C. Eckart, Phys. Rev.,58, 919 (1940).

    Google Scholar 

  2. G. A. Kluitenberg, S. R. de Groot, and P. Mazur, Physica (Utrecht),19, 689, 1079 (1953);20, 199 (1954).

    Google Scholar 

  3. L. D. Landau and E. M. Lifshits, Mechanics of Continuous Media [in Russian], GITTL (1954).

  4. N. N. Bogolyubov, “Problems of a dynamical theory in statistical physics”, in: Studies in Statistical Mechanics, Vol. 1 (eds. J. de Boer and G. E. Uhlenbeck), North-Holland, Amsterdam (1962).

    Google Scholar 

  5. D. N. Zubarev, Dokl. Akad. Nauk SSSR,164, 65 (1965); Nonequilibrium Statistical Thermodynamics, Plenum, New York (1974), §24.

    Google Scholar 

  6. N. A. Chernikov, Preprint JINR R-1264 [in Russian], Dubna (1963).

  7. W. Israel, J. Math. Phys.,4, 1163 (1963).

    Google Scholar 

  8. S. R. de Groot, Ch. G. van Weert, W. Th. Hermens, and W. A van Leeuwen, Physica (Utrecht),40, 257 (1968);40, 581 (1969).

    Google Scholar 

  9. W. A. van Leeuwen and S. R. de Groot, Physica (Utrecht),51, 1, 16, 32 (1971).

    Google Scholar 

  10. S. R. de Groot, W. A. van Leeuwen, and P. H. Meltzer, Nuovo Cimento A,25, 229 (1975).

    Google Scholar 

  11. K. Goto, Prog. Theor. Phys.,20, 1 (1958).

    Google Scholar 

  12. S. R. de Groot, A. J. Kox, and W. A. van Leeuwen, Physica (Utrecht),84A, 613 (1976); H. van Erkelens, and W. A. van Leeuwen, Physica (Utrecht),89A 225 (1977);91A, 88 (1978).

    Google Scholar 

  13. W. Israel and J. N. Wardalas, Lett. Nuovo Cimento,4, 887 (1970).

    Google Scholar 

  14. Th. J. Siskens and Ch. G. van Weert, Physica (Utrecht),91A, 303 (1978).

    Google Scholar 

  15. Yu. S. Gaignus, A. V. Prozorkevich, and S. A. Smolyanskii, Teor. Mat. Fiz.,35, 68 (1978).

    Google Scholar 

  16. D. A. Kirzhnits and A. D. Linde, Zh. Eksp. Teor. Fiz.,67, 1263 (1974).

    Google Scholar 

  17. R. Kh. Amirov, S. A. Smolyanskii, and L. Sh. Shekhter, Teor. Mat. Fiz.,21, 247 (1974).

    Google Scholar 

  18. C. Møller, in: Einstein Collection, 1971 [Russian translation], Nauka (1972), p. 163.

  19. H. Ezawa, Z. Tomozawa, and H. Umezawa, Nuovo Cimento,5, 810 (1957).

    Google Scholar 

  20. D. Ter Haar and G. Bergeland, in: Einstein Collection, 1972 [Russian translation], Nauka (1974), p. 254.

  21. R. Balescu, T. Kotera, and E. Pina, Physica (Utrecht),33, 581 (1967).

    Google Scholar 

  22. A. V. Prozorkevich and S. A. Smolyanskii, Teor. Mat. Fiz.,28, 262 (1976);31, 118 (1977).

    Google Scholar 

  23. J. Schwinger, in: Latest Developments in Quantum Electrodynamics [Russian translations], IL (1954), p. 12.

  24. S. de Groot and P. Mazur, Nonequilibrium Thermodynamics, North-Holland, Amsterdam (1962).

    Google Scholar 

  25. M. A. Tonnelat, Fundamentals of Electro magnetism and the Theory of Relativity [Russian translation], IL (1962).

  26. A. I. Akhiezer and S. V. Peletminskii, Methods of Statistical Physics [in Russian], Nauka (1977).

  27. S. V. Tishchenko, Teor. Mat. Fiz.,26, 96 (1976).

    Google Scholar 

  28. Ya. B. Zel'dovich, Zh. Eksp. Teor. Fiz.,41, 1609 (1961).

    Google Scholar 

  29. S. V. Tishchenko, Teor. Mat. Fiz.,25, 407 (1975).

    Google Scholar 

Download references

Authors
  1. D. N. Zubarev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. V. Prozorkevich
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. A. Smolyanskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

V. A. Steklov Mathematics Institute, USSR Academy of Sciences; State University, Saratov. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 40, No. 3, pp. 394–407, September, 1979.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zubarev, D.N., Prozorkevich, A.V. & Smolyanskii, S.A. Derivation of nonlinear generalized equations of quantum relativistic hydrodynamics. Theor Math Phys 40, 821–831 (1979). https://doi.org/10.1007/BF01032069

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01032069

Keywords

Search

Navigation