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Prog. Theor. Phys. Vol. 19 No. 6 (1958) pp. 699-712

[ Full Text PDF : FREE ACCESS (729K) ]

Quantum-Mechanical Many-Body Problem with Hard-Sphere Interaction

Ryuzo Abe

Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro, Tokyo

(Received January 27, 1958)

Abstract:

Theory of the surface charge pseudopotential for the hard-sphere potential is developed. It is shown that the formulas known to be exact are obtained by the present method. The excitation energy spectrum of the Bose system is calculated, and is shown to have the nonmonotonic behaviour similar to the roton spectrum in liquid He4. The dispersion formula for the sound velocity is calculated and compared with the derived by Landau and Khalatonikov.


URL : http://ptp.ipap.jp/link?PTP/19/699/
DOI : 10.1143/PTP.19.699

[ Full Text PDF : FREE ACCESS (729K) ] Citation:

References:

  1. R. Abe, Prog. Theor. Phys. 19 (1958), 1[PTP].
  2. R. Abe, Prog. Theor. Phys. 19 (1958), 713[PTP].
  3. K. Huaug and C. N. Yang, Phys. Rev. 105 (1957), 767[APS].
  4. K. Huang, C. N. Yang and J. M. Luttinger, Phys. Rev. 105 (1957), 776[APS].
  5. T. D. Lee and C. N. Yang, Phys. Rev. 105 (1957), 1119[APS].
  6. K. A. Brueckner and K. Sawada, Phys. Rev. 106 (1957), 1117[APS]; ibid. 106 (1957), 1128[APS].
  7. N. Bogolyubov, J. Phys. U.S.S.R. 11 (1947), 23.
  8. N. Bogolyubov and N. Zubarev, J. Exp. Theor. Phys. 28 (1955), 129.
  9. T. D. Lee, K. Huang and C. N. Yang, Phys. Rev. 106 (1957), 1135[APS].
  10. L. D. Landau and I. M. Khalatonikov, J. Exp. Theor. Phys. 19 (1949), 637.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 19 No. 6 (1958) pp. 713-724 :
    Quantum Mechanics of Strongly Interacting Particles with an Application to Lennard-Jones Potential
    Ryuzo Abe
  2. Progress of Theoretical Physics Vol. 20 No. 6 (1958) pp. 785-797 :
    Ground State Energy of Bose Particle System
    Ryuzo Abe
  3. Progress of Theoretical Physics Vol. 23 No. 1 (1960) pp. 41-60 :
    A Formal Theory of Collective Behavior
    Kazuo Hiroike
  4. Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 342-360 :
    Variational Study of Ground State of a Bose-Einstein Fluid
    Kazuo Hiroike

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