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Journal of Russian Laser Research

, Volume 40, Issue 5, pp 486–495 | Cite as

Pioneering Researches by V. P. Silin on the Vibrational Spectra of Interacting Many-Body Quantum Systems

  • Yakov A. KorennoyEmail author
Article
  • 9 Downloads

Abstract

We give a brief review of some pioneering works of V. P. Silin on the energy spectra of systems of interacting particles under conditions where quantum effects are significant.

Keywords

Moyal equation Wigner function quantum gases excitation spectrum dispersion equation quantum tomography 

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References

  1. 1.
    J. E. Moyal, Proc. Cambridge Philos. Soc., 45, 99 (1949).ADSMathSciNetCrossRefGoogle Scholar
  2. 2.
    E. Wigner, Phys. Rev., 40, 749 (1932).ADSCrossRefGoogle Scholar
  3. 3.
    Yu. L. Klimontovich and V. P. Silin, Zh. ´ Eksp. Teor. Fiz., 23, 151 (1952).Google Scholar
  4. 4.
    V. P. Silin, Zh. ´ Eksp. Teor. Fiz., 23, 641 (1952).Google Scholar
  5. 5.
    V. P. Silin, Zh. ´ Eksp. Teor. Fiz., 23, 649 (1952).Google Scholar
  6. 6.
    V. P. Silin, Zh. ´ Eksp. Teor. Fiz., 27 269 (1954).Google Scholar
  7. 7.
    V. P. Silin, Zh. ´ Eksp. Teor. Fiz., 28, 749 (1955) [English translation: Sov. Phys. JETP, 1, 607 (1955)].Google Scholar
  8. 8.
    L. D. Landau, Zh. ´ Eksp. Teor. Fiz., 32, 59 (1957). [English translation: Sov. Phys. JETP, 5, 101 (1955)].Google Scholar
  9. 9.
    S. Mancini, V. I. Man’ko, and P. Tombesi, Phys. Lett. A, 213, 1 (1996).ADSMathSciNetCrossRefGoogle Scholar
  10. 10.
    A. Ibort, V. I. Man’ko, G. Marmo, A. Simoni, and F. Ventriglia, Phys. Scr., 79, 065013 (2009).ADSCrossRefGoogle Scholar
  11. 11.
    Ya. A. Korennoy and V. I. Man’ko, J. Russ. Laser Res., 32, 74 (2011).CrossRefGoogle Scholar
  12. 12.
    J. von Neumann, Mathematische Grundlagen der Quantenmechanik, Springer, Berlin (1932).zbMATHGoogle Scholar
  13. 13.
    N. N. Bogolyubov, Problems of a Dynamical Theory in Statistical Physics [in Russian], Gostekhizdat, Moscow (1946).Google Scholar
  14. 14.
    L. D. Landau, Zh. ´ Eksp. Teor. Fiz., 16, 574 (1946).Google Scholar
  15. 15.
    N. N. Bogolyubov, Izv. Akad. Nauk SSSR Ser. Fiz., 11, 77 (1947).Google Scholar
  16. 16.
    I. I. Goldman, Zh. ´ Eksp. Teor. Fiz., 17, 681 (1947).Google Scholar
  17. 17.
    I. Ya. Pomeranchuk, Zh. ´ Eksp. Teor. Fiz., 20, 919 (1950).Google Scholar
  18. 18.
    D. Bohm and D. Pines, Phys. Rev, 82, 625 (1951).ADSMathSciNetCrossRefGoogle Scholar
  19. 19.
    N. N. Bogolyubov and K. P. Gurov, Zh. ´ Eksp. Teor. Fiz., 17, 614 (1947).Google Scholar
  20. 20.
    J. Radon, Ber. Verh. Sachs. Akad., 69, 262 (1917).Google Scholar
  21. 21.
    K. Husimi, Proc. Phys.-Math. Soc. Jpn., 22, 264 (1940).Google Scholar
  22. 22.
    S. S. Mizrahi, Physica A, 135, 237 (1986).ADSMathSciNetCrossRefGoogle Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Lebedev Physical InstituteRussian Academy of SciencesMoscowRussia

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