Skip to main content
Log in

The concept of quasiaverages and spaces of states

  • 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

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

Instant access to the full article PDF.

Literature Cited

  1. N. N. Bogolyubov, Physica (Utrecht),S26, 1 (1960).

    Google Scholar 

  2. N. N. Bogolyubov, Vestn. Mosk. Univ., No. 7, 43 (1947).

    Google Scholar 

  3. N. N. Bogolyubov, Vestn. Akad. Nauk SSSR,28, No. 4, 25 (1958).

    Google Scholar 

  4. N. N. Bogolyubov, Vestn. Akad. Nauk SSSR,28, No. 8, 36 (1958).

    Google Scholar 

  5. N. N. Bogolyubov, Zh. Eksp. Teor. Fiz.,34, 58 (1958).

    Google Scholar 

  6. N. N. Bogolyubov, “Quasiaverages in problems of statistical mechanics,” Preprint R-1451 [in Russian], JINR, Dubna (1963); Selected Works, Vol. 2, Naukova Dumka, Kiev (1971).

    Google Scholar 

  7. R. Haag, Nuovo Cimento,25, 287 (1962).

    Google Scholar 

  8. G. G. Emch, Algebraic Methods in Statistical Mechanics and Quantum Field Theory, Wiley-Interscience, New York (1972).

    Google Scholar 

  9. A. A. Grib, The Problem of Vacuum Noninvariance in Quantum Field Theory [in Russian], Atomizdat, Moscow (1978).

    Google Scholar 

  10. N. N. Bogolyubov (ed.), Statistical Physics and Quantum Field Theory [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  11. S. Weinberg, Rev. Mod. Phys.,52, 515 (1980).

    Google Scholar 

  12. J. Goldstone, Nuovo Cimento,19, 154 (1961).

    Google Scholar 

  13. P. W. Higgs, Phys. Rev. Lett.,13, 508 (1964).

    Google Scholar 

  14. N. N. Bogolyubov (Jr), Method of Investigating Model Hamiltonians [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  15. N. N. Bogolyubov (Jr) and B. I. Sadovnikov, Some Problems of Statistical Mechanics [in Russian], Vysshaya Shkola, Moscow (1975).

    Google Scholar 

  16. J. Brankov, A. S. Shumovsky, and V. A. Zagrebnov, Physica (Utrecht),78A, 183 (1974).

    Google Scholar 

  17. N. N. Bogolyubov (Jr), V. N. Plechko, and A. S. Shumovskii, Fiz. Elem. Chastits At. Yadra,14, 1443 (1983).

    Google Scholar 

  18. N. Mermin and H. Wagner, Phys. Rev. Lett.,17, 1133 (1966).

    Google Scholar 

  19. B. I. Sadovnikov and E. M. Sorokina, Indian J. Pure Appl. Phys.,8, 61 (1970).

    Google Scholar 

  20. V. I. Yukalov, Teor. Mat. Fiz.,26, 403 (1976).

    Google Scholar 

  21. V. I. Yukalov, Physica (Utrecht),108A, 402 (1981).

    Google Scholar 

  22. A. S. Shumovskii and V. I. Yukalov, in: Fifteenth International School of High Energy Physics. JINR D2, 4-83-139 [in Russian], JINR, Dubna (1983), pp. 223–313.

    Google Scholar 

  23. V. G. Soloviev, Theory of Complex Nuclei, Pergamon Press, Oxford (1976).

    Google Scholar 

  24. N. N. Bogolyubov (Jr), J. Math. Phys.,14, 26 (1973).

    Google Scholar 

  25. N. N. Bogolyubov (Jr) and A. S. Shumovskii, Tr. Mat. Inst., Akad. Nauk SSSR,136, 351 (1975).

    Google Scholar 

  26. V. I. Yukalov, Teor. Mat. Fiz.,28, 92 (1976).

    Google Scholar 

  27. N. N. Bogolyubov (Jr), Teor. Mat. Fiz.,13, 131 (1972).

    Google Scholar 

  28. N. N. Bogolyubov, Zh. Eksp. Teor. Fiz.,34, 73 (1958).

    Google Scholar 

  29. N. N. Bogolyubov (Jr) and A. S. Shumovsky, Indian J. Pure Appl. Phys.,8, 121 (1970).

    Google Scholar 

  30. W. Thirring, Commun. Math. Phys.,7, 181 (1968).

    Google Scholar 

  31. V. I. Yukalov, in: International Symposium on Selected Problems of Statistical Mechanics. JINR D17-11490 [in Russian], JINR, Dubna (1977), pp. 437–444.

    Google Scholar 

  32. E. A. Lynton, Superconductivity, Methuen (1969).

  33. R. Bruinsma and J. Aeppli, Phys. Rev. B,29, 2644 (1984).

    Google Scholar 

  34. H. Miwa, J. Magn. Mater.,34, 1455 (1983).

    Google Scholar 

  35. J. Brookeman and A. Rigamonti, Phys. Rev. B,24, 4925 (1981).

    Google Scholar 

  36. G. Maisano et al., Phys. Rev. Lett.,52, 1025 (1984).

    Google Scholar 

  37. A. M. Baldin, Fiz. Elem. Chastits At. Yadra,8, 429 (1977).

    Google Scholar 

  38. N. N. Bogolyubov, Nuovo Cimento,S4, 347 (1966).

    Google Scholar 

  39. N. N. Bogolyubov, in: Second International Symposium on Selected Problems of Statistical Mechanics. JINR D17-81-758 [in Russian], JINR, Dubna (1982), pp. 3–17.

    Google Scholar 

  40. A. S. Shumovskii and V. I. Yukalov, Dokl. Akad. Nauk SSSR,252, 581 (1980).

    Google Scholar 

  41. A. S. Shumovskii and V. I. Yukalov, —, pp. 238–260.

    Google Scholar 

  42. A. S. Shumovsky and V. I. Yukalov, Physica (Utrecht),110A, 518 (1982).

    Google Scholar 

  43. N. N. Bogolyubov, “Lectures on quantum statistics,” in: Selected Works, Vol. 2 [in Russian], Naukova Dumka, Kiev (1971).

    Google Scholar 

  44. S. V. Tyablikov, Methods of Quantum Theory of Magnetism, Plenum Press, New York (1967).

    Google Scholar 

  45. S. H. Liu, Phys. Rev. B,13, 3962 (1976).

    Google Scholar 

  46. A. S. Shumovsky and V. I. Yukalov, Chem. Phys. Lett.,83, 582 (1981).

    Google Scholar 

  47. A. S. Borukhovich, M. S. Marunya, et al., Fiz. Tverd. Tela (Leningrad), No. 7, 2084 (1974).

    Google Scholar 

  48. A. S. Shumovskii and V. I. Yukalov, Dokl. Akad. Nauk SSSR,266, 320 (1982).

    Google Scholar 

Download references

Authors

Additional information

Joint Institute for Nuclear Research, Dubna. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 60, No. 3, pp. 432–446, September, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bogolyubov, N.N., Shumovskii, A.S. & Yukalov, V.I. The concept of quasiaverages and spaces of states. Theor Math Phys 60, 921–931 (1984). https://doi.org/10.1007/BF01017895

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01017895

Navigation