The ground state of liquid helium-four

The properties of the ground state of liquid He-4 are studied using a variational wave function of the form TT f(rij)o The Lennard-Jones 12-6 potential with i<j parameters determined from the gas data by de Boer and Michels is used o The configuration space integrals are performed by the Monte Carlo method of Metropolis eto alo for 32 and 108 atoms in the periodic cubeo With fer) • exp(-(2 0 6A/r)5) the ground state energy is found to be -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

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• McMillan, William Lauchlin

Contributors dc:contributor

• Bardeen, John

• ground state of liquid helium
• variational wave function
• configuration space integrals
• Monte Carlo

Statement dc:rights

• Copyright 1964 William Lauchlin McMillan

Language dc:language

en

Identifier

6135784

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/23956