HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 28 (1962) > Number 1
| Next Article >

Prog. Theor. Phys. Vol. 28 No. 1 (1962) pp. 127-136

[ Full Text PDF : FREE ACCESS (561K) ]

On the Phonon-Phonon Interaction in a System of Bose Particles

Sigenobu Sunakawa, Yoshimatsu Yoko-o and Hiroshi Nakatani

Department of Physics, Osaka University, Osaka

(Received February 9, 1962)

Abstract:

The definite expression of the phonon-phonon interaction in a Bose system is derived up to the order of N-1 in terms of the density operator and its exact canonical conjugate which was introduced in the previous papers. We find some mathematical ambiguity in the course of calculation, and clarify the reason why the different results were obtained so far. The validity of our formalism is discussed from the physical point of view.


URL : http://ptp.ipap.jp/link?PTP/28/127/
DOI : 10.1143/PTP.28.127

[ Full Text PDF : FREE ACCESS (561K) ] Citation:

References:

  1. S. Sunakawa, Y. Yoko-o and H. Nakatani, Prog. Theor. Phys. 27 (1962), 589[PTP].
  2. S. Sunakawa, H. Nakatani and Y. Yoko-o, Prog. Theor. Phys. 27 (1962), 600[PTP].
  3. K. Hiroike, Prog. Theor. Phys. 21 (1959), 327[PTP].
  4. N. N. Bogoliubov and D. N. Zubarev, J. Exp. Theor. Phys. USSR, 28 (1955), 129.
  5. T. Goto and Y. H. Ichikawa, Soryusiron Kenkyu (mimeographed circular in Japanese) 19 (1959), 244.
  6. Hong-Ho Chan and J. G. Valatin, Nuovo Cimento 19 (1961), 118.
    P. R. Zilsel et al., Proceedings of the Seventh International Conference on Low Temperature Physics, Toronto (1960), 544.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 34 No. 3 (1965) pp. 499-501 :
    Collective Description of a System of Interacting Bose Particles
    Yoshihiko Fukui and Sigenobu Sunakawa
  2. Progress of Theoretical Physics Vol. 41 No. 4 (1969) pp. 919-940 :
    Energy Spectrum of the Excitations in Liquid Helium II
    Sigenobu Sunakawa, Shuichiro Yamasaki and Takeji Kebukawa
  3. Progress of Theoretical Physics Vol. 44 No. 3 (1970) pp. 819-820 :
    On the Velocity Operator in Many-Boson System
    Sigenobu Sunakawa, Shuichiro Yamasaki and Takeji Kebukawa
  4. Progress of Theoretical Physics Vol. 49 No. 2 (1973) pp. 388-400 :
    The Temperature Dependence of Phonon Velocity and Roton Minimum in Liquid He II
    Takeji Kebukawa
  5. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1490-1500 :
    Commutativity of Velocity Operators in a System of Bose Particles
    Shuichiro Yamasaki, Takeji Kebukawa and Sigenobu Sunakawa
  6. 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
  7. 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
  8. Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1243-1266 :
    On the Collective Variables in Many-Boson System
    Shuichiro Yamasaki, Takeji Kebukawa and Sigenobu Sunakawa
  9. Progress of Theoretical Physics Vol. 54 No. 2 (1975) pp. 348-369 :
    On the Interaction between Elementary Excitations in Many-Boson System
    Shuichiro Yamasaki, Takeji Kebukawa and Sigenobu Sunakawa
  10. Progress of Theoretical Physics Vol. 58 No. 4 (1977) pp. 1316-1318 :
    On the Exact Canonical Conjugate Momenta in the Quadrupole Type Nuclear Collective Motion
    Seiya Nishiyama
  11. Progress of Theoretical Physics Vol. 68 No. 5 (1982) pp. 1482-1503 :
    Quasi-Particle Description of a Degenerate System of Bosons
    Masahiko Hirooka and Shuichiro Yamasaki

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.