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Prog. Theor. Phys. Vol. 45 No. 3 (1971) pp. 730-745

[ Full Text PDF : FREE ACCESS (925K) ]

Method of Collective Description of the Excitations in Liquid Helium

Toshiyuki Nishiyama

Department of Physics, College of General Education, Osaka University, Toyonaka 560

(Received December 15, 1969; Revised October 26, 1970)

Abstract:

The method of collective description presented in a previous paper is applied to obtain the energy spectrum of liquid helium. For lower wave numbers than a cutoff wave number q0, the energy shift from the Feynman spectrum is obtained by using a renormalization method. For higher wave numbers than q0, our result resembles that of Bohm and Salt, and the difference between these two results is investigated numerically for a simplified model Hamiltonian. Discussion is made on the pair states of particles which are considered important in relation to the recent experiment of Woods and Cowley.


URL : http://ptp.ipap.jp/link?PTP/45/730/
DOI : 10.1143/PTP.45.730

[ Full Text PDF : FREE ACCESS (925K) ] Citation:

References:

  1. T. Nishiyama, Prog. Theor. Phys. 38 (1967), 1062[PTP].
  2. T. Nishiyama, Prog. Theor. Phys. 12 (1954), 265[PTP]; ibid. 14 (1955), 37[PTP]; ibid. 17 (1957), 711[PTP].
  3. D. Bohm and B. Salt, Rev. Mod. Phys. 39 (1967), 894[APS].
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  7. R. B. Hallock, Phys. Rev. Lett. 23 (1969), 830[APS].
  8. A. D. B. Woods and R. A. Cowley, Phys. Rev. Lett. 24 (1970), 646[APS].
  9. T. Nishiyama, Prog. Theor. Phys. 42 (1969), 1504[PTP].
  10. S. Sunakawa, S. Yamasaki and T. Kebukawa, Prog. Theor. Phys. 41 (1969), 919[PTP].
  11. T. J. Greytak and J. Yan, Phys. Rev. Lett. 22 (1969), 987[APS].
  12. F. Iwamoto, to be published.
  13. S. Nakajima, to be published.
  14. L. P. Pitaevskii, Zh. Eksp. i Teor. Fiz. 36 (1959), 1168.
  15. P. W. Anderson, Phys. Rev. 112 (1958), 1900[APS].
  16. G. Rickayzen, Phys. Rev. 115 (1959), 795[APS].

Citing Article(s) :

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  2. Progress of Theoretical Physics Vol. 50 No. 1 (1973) pp. 329-331 :
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  3. Progress of Theoretical Physics Vol. 50 No. 3 (1973) pp. 726-739 :
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  4. Progress of Theoretical Physics Vol. 51 No. 6 (1974) pp. 1981-1983 :
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  5. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 777-785 :
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  6. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 793-810 :
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  7. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 811-821 :
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  8. Progress of Theoretical Physics Vol. 52 No. 6 (1974) pp. 1784-1797 :
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  10. Progress of Theoretical Physics Vol. 54 No. 2 (1975) pp. 597-599 :
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  11. Progress of Theoretical Physics Vol. 56 No. 1 (1976) pp. 16-30 :
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  12. Progress of Theoretical Physics Vol. 56 No. 2 (1976) pp. 375-395 :
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  13. Progress of Theoretical Physics Vol. 57 No. 2 (1977) pp. 393-409 :
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  14. Progress of Theoretical Physics Vol. 57 No. 4 (1977) pp. 1133-1147 :
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  15. Progress of Theoretical Physics Vol. 64 No. 4 (1980) pp. 1248-1264 :
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  16. Progress of Theoretical Physics Vol. 64 No. 5 (1980) pp. 1565-1576 :
    Momentum Distribution and Ground-State Energy of Liquid 4He at the Absolute Zero Temperature
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  17. Progress of Theoretical Physics Vol. 65 No. 4 (1981) pp. 1198-1216 :
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  18. Progress of Theoretical Physics Vol. 97 No. 5 (1997) pp. 709-737 :
    Developments and Outlook of Statistical Physics at the Turn of the Century
    Akira Isihara

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