Many-Body Pseudopotential for Hard-Sphere Interaction

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概要

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• A many-body pseudopotential for a hard-sphere system which is mathematically equivalent to the boundary conditions imposed on the wave functions is obtained as a generalization of Huang and Yang's binary pseudopotential, and the lowest order term of the ground state energy resulting from the triple collision is calculated for the Bose system. Instead of the direct perturbational treatment of the pseudopotential, the use of the ρ_κ-representation for the Bose system is proposed and the ground state energy is calculated in this representation. It is shown that the energy thus calculated is of the form of an expansion in powers of(ρα^3)^<1 / 2> where ρ is the average density and α the hard-sphere diameter, which is in agreement with Lee and Yang's conclusion drawn from the binary collision expansion method. Some discussions associated with the roton spectrum of liquid He^4 are given.

• 理論物理学刊行会の論文
• 1958-01-25

著者

• Abe Ryuzo

  Physics Department Tokyo Institute Of Technology

• ABE Ryuzo

  Physics Department, Tokyo Institute of Technology

関連論文

• Giant Cluster Expansion Theory and Its Application to High Temperature Plasma
• On the Form Factor of Liquid He^4 at Absolute Zero, I
• Many-Body Pseudopotential for Hard-Sphere Interaction
• Equation of State of Classical Electron Gas
• On the Form Factor of Liquid He^4 at Absolute ZeroII

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