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Prog. Theor. Phys. Vol. 50 No. 5 (1973) pp. 1490-1500

[ Full Text PDF : FREE ACCESS (713K) ]

Commutativity of Velocity Operators in a System of Bose Particles

Shuichiro Yamasaki, Takeji Kebukawa and Sigenobu Sunakawa

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

(Received May 11, 1973)

Abstract:

The commutator of the velocity operators which are appropriate for the collective description of an interacting Bose system is found to be zero. On the basis of this result, it will be shown that the collective description of many-Boson system is always possible without a subsidiary condition k×Vk|>=0.


URL : http://ptp.ipap.jp/link?PTP/50/1490/
DOI : 10.1143/PTP.50.1490

[ Full Text PDF : FREE ACCESS (713K) ] Citation:

References:

  1. S. Sunakawa, S. Yamasaki and T. Kebukawa, Prog. Theor. Phys. 41 (1969), 919[PTP].
    See also 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].
  2. T. Kebukawa, S. Yamasaki and S. Sunakawa, Prog. Theor. Phys. 44 (1970), 565[PTP].
  3. G. Sposito, preprint.
  4. D. G. H. Henshaw and A. D. B. Woods, Phys. Rev. 121 (1961), 1266[APS].
  5. R. A. Cowley and A. D. B. Woods, Can. J. Phys. 49 (1971), 177.
    A. D. B. Woods, E. C. Svensson and J. Solana, preprint.
  6. T. Kebukawa, S. Yamasaki and S. Sunakawa, Prog. Theor. Phys. 49 (1973), 1802[PTP].
  7. R. Fanelli and R. E. Struzynski, Phys. Rev. 173 (1968), 248[APS].
  8. L. D. Landau, J. Phys. -USSR 5 (1941), 71.

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. 2 (1974) pp. 733-734 :
    Comments on Velocity Operators of Bose Fluids
    Sadao Nakajima and Daijiro Yoshioka
  4. 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
  5. Progress of Theoretical Physics Vol. 53 No. 2 (1975) pp. 386-399 :
    On the Validity of Collective Variable Description of Bose Systems
    Minoru Takahashi
  6. 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
  7. Progress of Theoretical Physics Vol. 54 No. 2 (1975) pp. 308-315 :
    Ground-State Energy of a Bose System in the Weak Coupling Limit
    Kazuo Hiroike
  8. 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
  9. Progress of Theoretical Physics Vol. 55 No. 1 (1976) pp. 33-37 :
    Excitation Spectrum of a One-Dimensional Many-Boson System
    Minoru Takahashi
  10. Progress of Theoretical Physics Vol. 56 No. 2 (1976) pp. 415-434 :
    Single Particle Aspects in a Collective Formalism for an Interacting Boson System
    Shuichiro Yamasaki, Takeji Kebukawa and Sigenobu Sunakawa
  11. Progress of Theoretical Physics Vol. 57 No. 4 (1977) pp. 1133-1147 :
    Quantum Hydrodynamics and Two-Fluid Dynamics
    Kazumasa Miyake and Kazuo Yamada
  12. Progress of Theoretical Physics Vol. 61 No. 2 (1979) pp. 674-675 :
    The Existence of Collective Momenta in Quantum-Mechanical Many-Particle Systems
    Hiroshi Nakajima, Takashi Kawashima and Ryoji Suzuki

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