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Prog. Theor. Phys. Vol. 27 No. 3 (1962) pp. 600-607

[ Full Text PDF : FREE ACCESS (371K) ]

Collective Description of a System of Interacting Bose Particles. II

Sigenobu Sunakawa, Hiroshi Nakatani and Yoshimatsu Yoko-o

Department of Physics, Osaka University, Osaka

(Received October 30, 1961)

Abstract:

The collective behavior of the three-dimensional Bose system is investigated. Along the line of reasoning of the preceding paper, the momentum density operator is modified and it is shown that the modified momentum density operator is equivalent to the velocity operator of the quantum hydrodynamics. The Hamiltonian is described in terms of the collective variables for the case of irrotational motion. The result is compared with other theories.


URL : http://ptp.ipap.jp/link?PTP/27/600/
DOI : 10.1143/PTP.27.600

[ Full Text PDF : FREE ACCESS (371K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 27 No. 4 (1962) pp. 838-840 :
    Collective Variables and Their Canonical Conjugate Momenta in Many-Body Problem
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  2. 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
  3. 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
  4. 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
  5. Progress of Theoretical Physics Vol. 41 No. 4 (1969) pp. 919-940 :
    Energy Spectrum of the Excitations in Liquid Helium II
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  6. Progress of Theoretical Physics Vol. 44 No. 3 (1970) pp. 819-820 :
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  7. 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
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  8. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1490-1500 :
    Commutativity of Velocity Operators in a System of Bose Particles
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  9. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 793-810 :
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  10. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 811-821 :
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    G. S. Grest and A. K. Rajagopal
  11. Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1243-1266 :
    On the Collective Variables in Many-Boson System
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  12. Progress of Theoretical Physics Vol. 57 No. 2 (1977) pp. 393-409 :
    Collective Variable Approach to Many-Boson Systems at High Density
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  13. Progress of Theoretical Physics Vol. 58 No. 4 (1977) pp. 1316-1318 :
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  14. 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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