Ground State of Liquid He4

Phys. Rev. 138, A442 – Published 19 April 1965
W. L. McMillan


The properties of the ground state of liquid He4 are studied using a variational wave function of the form Πi<jf(rij). The Lennard-Jones 12-6 potential is used with parameters determined from the gas data by deBoer and Michiels. The configuration space integrals are performed by a Monte Carlo technique for 32 and 108 atoms in a cube with periodic boundary conditions. With f(r)=exp[-(2.6 År)5], the ground-state energy is found to be -0.78 × 10-15 ergs/atom, which is 20% above the experimental value. The liquid structure factor and the two-particle correlation function are in reasonably good agreement with the x-ray and neutron scattering experiments.


  • Received 16 November 1964
  • Published in the issue dated April 1965

© 1965 The American Physical Society

Authors & Affiliations

W. L. McMillan*

  • Department of Physics, University of Illinois, Urbana, Illinois

  • *Xerox Fellow, 1962-63. Present address: Bell Telephone Laboratories, Murray Hill, New Jersey.

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