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

1 June 1958

journal article
Published by Oxford University Press (OUP) in Progress of Theoretical Physics

Vol. 19 (6) , 699-712
https://doi.org/10.1143/ptp.19.699

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.

Keywords

SURFACE CHARGE
HARD SPHERE
BODY PROBLEM
SPHERE INTERACTION
INTERACTION THEORY
CHARGE PSEUDOPOTENTIAL
FORMULAS
SPECTRUM

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