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Prog. Theor. Phys. Vol. 27 No. 3 (1962) pp. 589-599

[ Full Text PDF : FREE ACCESS (490K) ]

Collective Description of a System of Interacting Bose Particles. I

Sigenobu Sunakawa, Yoshimatsu Yoko-o and Hiroshi Nakatani

Department of Physics, Osaka University, Osaka

(Received October 30, 1961)

Abstract:

The collective description of the one-dimensional interacting Bose system is studied. The exact canonical conjugate of the density operator is given explicitly. The Hamiltonian of the system is expressed in terms of the exact collective variables.


URL : http://ptp.ipap.jp/link?PTP/27/589/
DOI : 10.1143/PTP.27.589

[ Full Text PDF : FREE ACCESS (490K) ] Citation:

References:

  1. N. N. Bogoliubov, J. Phys. 11 (1947), 13.
  2. L. Landau, J. Phys. 5 (1941), 71.
  3. K. Huang and C. N. Yang, Phys. Rev. 105 (1957), 767[APS]; ibid. 106 (1957), 1135[APS].
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  7. K. Hiroike, Prog. Theor. Phys. 21 (1959), 327[PTP].
  8. K. Husimi and T. Nishiyama, Fortschr. d. Phys. 6 (1958), 16.
  9. S. Tomonaga, Prog. Theor. Phys. 4 (1950), 544[PTP]; ibid. 13 (1955), 467[PTP]; ibid. 13 (1955), 482[PTP].
    D. Penrose, Phil. Mag. 45 (1954), 80.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 27 No. 3 (1962) pp. 600-607 :
    Collective Description of a System of Interacting Bose Particles. II
    Sigenobu Sunakawa, Hiroshi Nakatani and Yoshimatsu Yoko-o
  2. Progress of Theoretical Physics Vol. 27 No. 4 (1962) pp. 838-840 :
    Collective Variables and Their Canonical Conjugate Momenta in Many-Body Problem
    Kunio Yamamoto
  3. Progress of Theoretical Physics Vol. 28 No. 1 (1962) pp. 127-136 :
    On the Phonon-Phonon Interaction in a System of Bose Particles
    Sigenobu Sunakawa, Yoshimatsu Yoko-o and Hiroshi Nakatani
  4. 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
  5. Progress of Theoretical Physics Vol. 38 No. 5 (1967) pp. 1062-1082 :
    Interaction of an Individual Particle with Phonons in an Interacting Many-Boson System
    Toshiyuki Nishiyama
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. Progress of Theoretical Physics Vol. 57 No. 2 (1977) pp. 393-409 :
    Collective Variable Approach to Many-Boson Systems at High Density
    Toshiyuki Nishiyama and Masakazu Tsujii
  15. 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
  16. 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

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