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Prog. Theor. Phys. Vol. 49 No. 2 (1973) pp. 388-400

[ Full Text PDF : FREE ACCESS (841K) ]

The Temperature Dependence of Phonon Velocity and Roton Minimum in Liquid He II

Takeji Kebukawa

Departmet of Physics, College of General Education, Osaka University, Toyonaka

(Received September 11, 1972)

Abstract:

The temperature dependence of phonon velocity and roton minimum is investigated from the microscopic point of view, by taking into account the contributions from the interactions between quasi-particles given in previous papers. In consequence, we find that the phonon-roton interactions and the roton-roton interactions play very important roles in the temperature dependence of phonon velocity and roton minimum, respectively. The results are compared with experiments to yield fairly good agreement.


URL : http://ptp.ipap.jp/link?PTP/49/388/
DOI : 10.1143/PTP.49.388

[ Full Text PDF : FREE ACCESS (841K) ] Citation:

References:

  1. O. W. Dietrich, E. H. Graf, C.H. Huang and L. Passell, Phys. Rev. A 5 (1972), 1377[APS].
  2. W. H. Whitney and C. E. Chase, Phys. Rev. Lett. 9 (1962), 243[APS].
  3. I. H. Khalatnikov and D. M. Chernikova, Sov. Phys. -JETP 22 (1966), 1336; ibid. 23 (1966), 274.
    A. Andreev and I. Khalatnikov, Sov. Phys. -JETP 17 (1963), 1384.
  4. A. J. Leggett and D. ter Haar, Phys. Rev. 139 (1965), A779[APS].
    C. J. Pethick and D. ter Haar, Physica 32 (1966), 1905[CrossRef].
  5. L. D. Landau, J. Phys. 5 (1941), 71; ibid. 11 (1947), 91.
  6. S. Sunakawa, S. Yamasaki and T. Kebukawa, Prog. Theor. Phys. 41 (1969), 919[PTP].
  7. T. Kebukawa, S. Yamasaki and S. Sunakawa, Prog. Theor. Phys. 44 (1970), 565[PTP].
  8. T. Nishiyama, Prog. Theor. Phys. 45 (1971), 730[PTP].
  9. S. Sunakawa, Y. Yoko-o and H. Nakatani, Prog. Theor. Phys. 27 (1962), 589[PTP]; ibid. 27 (1962), 600[PTP]; ibid. 28 (1962), 127[PTP].
    Y. Fkui and S. Sunakawa, Prog. Theor. Phys. 34 (1965), 499[PTP].
  10. N. N. Bogoliubob, J. Phys. 11 (1947), 23.
  11. A. A. Abrikosov, L. P. Gorkov and I. E. Dzyaloshinskii, Quantum Field Theoretical Method in Statistical Physics (Tokyo Tosho, 1970).
    A. L. Fetter and J. D. Walecka, Quantum Theory of Many Particle System (McGraw-Hill Book Company, 1971).
  12. R. P. Feynman, Phys. Rev. 94 (1954), 262[APS].
  13. D. G. Henshaw and A. D. B. Woods, Phys. Rev. 6 (1958), 16[APS].
  14. K. Yamada and K. Ishikawa, Prog. Theor. Phys. 48 (1972), 1455[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 51 No. 2 (1974) pp. 366-377 :
    Temperature Dependence of the Absorption Coefficient of First Sound and Its Velocity in Liquid Helium II
    Takeji Kebukawa
  2. Progress of Theoretical Physics Vol. 51 No. 6 (1974) pp. 1981-1983 :
    On the Temperature Dependence of Sunakawa's Excitation Spectrum of Bose liquids
    Toshio Tsuzuki
  3. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 793-810 :
    Correlations in Bose Fluids, I. An Elementary Excitation and Its Effective Hamiltonian
    Toshio Tsuzuki
  4. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 811-821 :
    Excitation Energy of Liquid Helium. II
    G. S. Grest and A. K. Rajagopal

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