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Prog. Theor. Phys. Vol. 54 No. 2 (1975) pp. 348-369

[ Full Text PDF : FREE ACCESS (1646K) ]

On the Interaction between Elementary Excitations in Many-Boson System

Shuichiro Yamasaki, Takeji Kebukawa and Sigenobu Sunakawa

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

(Received December 28, 1974)

Abstract:

On the basis of the new formalism of the collective description of a many-boson system developed in a previous paper,1) new creation and annihilation operators for elementary excitations are introduced. When the system is written in terms of these operators, every interaction term in the Hamiltonian gives finite results for physical quantities in contrast with the interaction in the old formalism.2) The roton-roton interaction is reinvestigated on the basis of the present formalism to obtain the effective coupling-constants in the same order of magnitude with experimental ones.


URL : http://ptp.ipap.jp/link?PTP/54/348/
DOI : 10.1143/PTP.54.348

[ Full Text PDF : FREE ACCESS (1646K) ] Citation:

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References:

  1. S. Yamasaki, T. Kebukawa and S. Sunakawa, Prog. Theor. Phys. 53 (1975), 1243[PTP].
  2. S. Sunakawa, Y. Yoko-o and H. Nakatani, Prog. Theor. Phys. 27 (1962), 589[PTP]; ibid. 27 (1962), 800[PTP]; ibid. 28 (1962), 127[PTP].
    Y. Fukui and S. Sunakawa, Prog. Theor. Phys. 34 (1965), 499[PTP].
    S. Sunakawa, S. Yamasaki and T. Kebukawa, Prog. Theor. Phys. 41 (1969), 919[PTP]; ibid. 44 (1970), 565[PTP]; ibid. 44 (1970), 819[PTP]; ibid. 49 (1973), 1802[PTP]; ibid. 50 (1973), 1490[PTP].
  3. A. K. Rajagopal, A. Bagchi and J. Ruvalds, Phys. Rev. A 9 (1974), 2707[APS].
  4. E. Feenberg, Theory of Quantum Fluids (Academic Press, New York and London, 1969).
  5. P. Berdahl and D. K. Lee, Phys. Rev. A 7 (1973), 1376[APS].
    D. K. Lee, Phys. Rev. A 8 (1973), 2735[APS].
  6. G. S. Grest and A. K. Rajagopal, Prog. Theor. Phys. 52 (1974), 811[PTP].
  7. M. Takahashi, preprint.
    E. H. Lieb and W. Liniger, Phys. Rev. 130 (1963), 1605[APS].
  8. K. Hiroike, preprint.
  9. T. J. Greytak and J. Yan, Phys. Rev. Lett. 22 (1969), 987[APS].
    T. J. Greytak, R. Woerner, Phys. Rev. 188 (1969), 291[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 54 No. 2 (1975) pp. 384-395 :
    Ground-State Energy of a Many-Boson System
    Toshiyuki Nishiyama
  2. Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1330-1332 :
    Coherent State Approach to Many-Boson Problems
    Masakazu Tsujii
  3. Progress of Theoretical Physics Vol. 56 No. 1 (1976) pp. 16-30 :
    Momentum Distribution of an Interacting Many-Boson System at High Density
    Toshiyuki Nishiyama
  4. Progress of Theoretical Physics Vol. 56 No. 2 (1976) pp. 375-395 :
    A Microscopic Theory of the Interacting Bose System
    Shosuke Sasaki and Kiyohisa Matsuda
  5. 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
  6. Progress of Theoretical Physics Vol. 57 No. 1 (1977) pp. 12-27 :
    Use of a Coherent-State Representation for a Many-Boson System at High Density
    Masakazu Tsujii and Toshiyuki Nishiyama
  7. 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
  8. Progress of Theoretical Physics Vol. 61 No. 4 (1979) pp. 996-1011 :
    Excitation-Modes and Their Interactions in a Many-Boson System. I
    Shuichiro Yamasaki, Takeji Kebukawa and Sigenobu Sunakawa
  9. Progress of Theoretical Physics Vol. 61 No. 4 (1979) pp. 1012-1022 :
    Excitation-Modes and Their Interactions in a Many-Boson System. II
    Shuichiro Yamasaki, Takeji Kebukawa and Sigenobu Sunakawa
  10. Progress of Theoretical Physics Vol. 63 No. 4 (1980) pp. 1170-1180 :
    Microscopic Derivation of the Roton-Roton Interaction
    Toshio Sugiyama
  11. Progress of Theoretical Physics Vol. 64 No. 4 (1980) pp. 1379-1387 :
    Shock Waves in Collective Field Theories for Many Particle Systems
    Fumiya Oki, Takesi Saito and Kazuyasu Shigemoto
  12. Progress of Theoretical Physics Vol. 65 No. 4 (1981) pp. 1198-1216 :
    One-Dimensional Many Boson System. I
    Shosuke Sasaki and Takeji Kebukawa
  13. Progress of Theoretical Physics Vol. 66 No. 4 (1981) pp. 1200-1218 :
    Three-Particle Correlations in the Ground State of a Bose Fluid
    Shuichiro Yamasaki and Masahiko Hirooka
  14. Progress of Theoretical Physics Vol. 67 No. 1 (1982) pp. 20-40 :
    The Extended Convolution Approximation as a Canonical Transformation in a Degenerate Boson System
    Shuichiro Yamasaki and Masahiko Hirooka
  15. Progress of Theoretical Physics Vol. 71 No. 5 (1984) pp. 1087-1090 :
    Phonon Spectrum of a Degenerate System of Bosons at Finite Temperature
    Shuichiro Yamasaki
  16. Progress of Theoretical Physics Vol. 72 No. 3 (1984) pp. 441-455 :
    A Microscopic Theory of Superfluids. I
    Shuichiro Yamasaki
  17. Progress of Theoretical Physics Vol. 73 No. 3 (1985) pp. 598-614 :
    A Microscopic Theory of Superfluids. II
    Shuichiro Yamasaki
  18. Progress of Theoretical Physics Vol. 84 No. 3 (1990) pp. 420-424 :
    Condensate Fraction of a Charged Bose Gas at High Density
    Toshiyuki Nishiyama

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