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On the collective and single-particle excitations in superfluid helium

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Abstract

Based on an analysis of available theoretical and experimental data, it is shown that the collective excitation spectrum is not identical to the single-particle excitation spectrum in superfluid helium 4He. It is shown that collective excitations with phonon-roton spectrum are not directly related to the superfluidity phenomenon.

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References

  1. L. D. Landau, Zh. Eksp. Teor. Fiz. 11, 592 (1941).

    Google Scholar 

  2. L. D. Landau, Zh. Eksp. Teor. Fiz. 17, 91 (1947).

    Google Scholar 

  3. M. Cohen and R. P. Feynman, Phys. Rev. 107, 13 (1957).

    Article  ADS  MATH  Google Scholar 

  4. L. M. Lifshitz and L. P. Pitaevskii, Statistical Physics: Theory of the Condensed State (Course of Theoretical Physics Vol. 9) (Nauka, Moscow, 1978; Butterworth-Heinemann, 1980).

    Google Scholar 

  5. H. Palevsky, K. Otnes, K. E. Larsson, et al., Phys. Rev. 108, 1346 (1957).

    Article  ADS  Google Scholar 

  6. J. L. Yarnell, G. P. Arnold, P. J. Bendt, and E. C. Kerr, Phys. Rev. 113, 1379 (1959).

    Article  ADS  Google Scholar 

  7. D. G. Henshaw and A. D. B. Woods, Phys. Rev. 121, 1266 (1961).

    Article  ADS  Google Scholar 

  8. A. Griffin, Excitations in a Bose-condensed Liquid (Cambridge University Press, Cambridge, 1993).

    Book  Google Scholar 

  9. S. T. Belyaev, Zh. Eksp. Teor. Fiz. 34, 417; 433 (1958).

    Google Scholar 

  10. P. Nozieres and D. Pines, Theory of Quantum Liquids, Vol. II: Superfluid Bose Liquids (Addison-Wesley, Redwood City, 1964).

    Google Scholar 

  11. V. P. Silin and A. A. Rukhadze, Electromagnetic Properties of Plasma and Plasma-Like Media (Gosatomizdat, Moscow, 1961) [in Russian].

    Google Scholar 

  12. A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinskii, Quantum Field Theory Methods in Statistical Physics (Nauka, Moscow, 1962) [in Russian].

    Google Scholar 

  13. L. D. Landau and E. M. Lifshitz, Statistical Physics, Part 1 (Nauka-Fizmatlit, Moscow, 1995; Oxford University Press, Oxford, 1998).

    MATH  Google Scholar 

  14. S. A. Trigger and P. P. J. M. Schram, Physica B 228, 107 (1996).

    Article  ADS  Google Scholar 

  15. O. Penrose, Philos. Mag. 42, 1373 (1951).

    Article  MATH  Google Scholar 

  16. O. Penrose and L. Onsager, Phys. Rev. 104, 576 (1956).

    Article  ADS  MATH  Google Scholar 

  17. N. N. Bogolyubov, Izv. Akad Nauk SSSR. Ser. Fiz. 11, 77 (1947) [N. N. Bogoliubov, J. Phys. USSR 11, 23 (1947)].

    MathSciNet  Google Scholar 

  18. N. Hugenholtz and D. Pines, Phys. Rev. 116, 489 (1959).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  19. J. Gavoret and P. Nozieres, Ann. Phys. 28, 349 (1964).

    Article  ADS  Google Scholar 

  20. T. Kita, Phys. Rev. B 81, 214513 (2010).

    Article  ADS  Google Scholar 

  21. G. Baym and L. Kadanoff, Phys. Rev. 124, 287 (1961).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  22. G. Baym, Phys. Rev. 127, 1391 (1962).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  23. V. B. Bobrov, Yu. P. Vlasov, and S. A. Triger, Zh. Eksp. Teor. Fiz. 102, 107 (1992).

    Google Scholar 

  24. V. B. Bobrov, S. A. Trigger, and Yu. P. Vlasov, Physica B 203, 95 (1994).

    Article  ADS  Google Scholar 

  25. A. M.Belyayev,V. B. Bobrov, and S. A. Trigger, J. Phys.:Condens. Matter 1, 9965 (1989).

    Google Scholar 

  26. V. B. Bobrov, S. A. Trigger, and D. I. Litinski, arXiv:1407.6184 cond-mat.other] (2014).

  27. H. Godfrin, M. Meschke, H.-J. Lauter, et al., Nature 483, 576 (2012).

    Article  ADS  Google Scholar 

  28. H. M. Böhm,, R. Holler, E. Krotscheck, and M. Panholzer, Phys. Rev. B 22, 224505 (2010).

    Article  Google Scholar 

  29. V. B. Bobrov, S. A. Trigger, and I. M. Yurin, Phys. Lett. A374, 1938 (2010).

    Article  ADS  MATH  Google Scholar 

  30. V. P. Peshkov, Zh. Eksp. Teor. Fiz. 16, 1000 (1946) [V. P. Peshkov, J. Phys. USSR 10, 389 (1946)].

    Google Scholar 

  31. L. P. Pitaevskii, J. Low Temp. Phys. 87, 127 (1992).

    Article  ADS  Google Scholar 

  32. V. B. Bobrov and S. A. Triger, Kratkie Soobshcheniya po Fizike FIAN 40(6), 48 (2013) [Bulletin of the Lebedev Physics Institute 40, 168 (2013)].

    Google Scholar 

  33. R. J. Donnelly, Quantized Vortices in Helium II (Cambridge University Press, Cambridge, 1991).

    Google Scholar 

  34. M. S. Paoletti and D. P. Lathrop, Annual Rev. Cond. Matter Phys. 2, 213 (2011).

    Article  ADS  Google Scholar 

  35. D. Pines, Phys. Today 34, 106 (1981).

    Article  Google Scholar 

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Correspondence to S. A. Trigger.

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Original Russian Text © V.B. Bobrov, S.A. Trigger, 2014, published in Kratkie Soobshcheniya po Fizike, 2014, Vol. 41, No. 11, pp. 28–37.

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Bobrov, V.B., Trigger, S.A. On the collective and single-particle excitations in superfluid helium. Bull. Lebedev Phys. Inst. 41, 323–328 (2014). https://doi.org/10.3103/S1068335614110049

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