{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/23956"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/23956","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"The ground state of liquid helium-four","abstract":"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","abstract_html":"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&lt;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","abstract_has_math":false,"creators":["McMillan, William Lauchlin"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Bardeen, John"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-19T14:21:28Z","date_published":"2011-05-19T14:21:28Z","updated_at":"2026-07-22T22:25:23Z","subjects":["ground state of liquid helium","variational wave function","configuration space integrals","Monte Carlo"],"languages":["en"],"rights":["Copyright 1964 William Lauchlin McMillan"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["6135784"],"render_values":[{"text":"6135784","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/23956","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Bardeen, John"]},{"key":"dc:creator","label":"Author","values":["McMillan, William Lauchlin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-19T14:21:28Z","10000-01-01","1964"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ground state of liquid helium","variational wave function","configuration space integrals","Monte Carlo"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1964 William Lauchlin McMillan"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["6135784","http://hdl.handle.net/2142/23956"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-05-19T14:21:28Z No. of bitstreams: 1 1964_mcmillan.pdf: 1790375 bytes, checksum: 7e301d43fdae8f7c89b95e0b902b263d (MD5)","Made available in DSpace on 2011-05-19T14:21:28Z (GMT). No. of bitstreams: 1 1964_mcmillan.pdf: 1790375 bytes, checksum: 7e301d43fdae8f7c89b95e0b902b263d (MD5) Previous issue date: 1964","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-05-19T14:21:28Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:12:25-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["The ground state of liquid helium-four"]}]}],"canonical_facts":{"dc:contributor":["Bardeen, John"],"dc:creator":["McMillan, William Lauchlin"],"dc:date":["2011-05-19T14:21:28Z","10000-01-01","1964"],"dc:description":["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","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-05-19T14:21:28Z No. of bitstreams: 1 1964_mcmillan.pdf: 1790375 bytes, checksum: 7e301d43fdae8f7c89b95e0b902b263d (MD5)","Made available in DSpace on 2011-05-19T14:21:28Z (GMT). No. of bitstreams: 1 1964_mcmillan.pdf: 1790375 bytes, checksum: 7e301d43fdae8f7c89b95e0b902b263d (MD5) Previous issue date: 1964","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-05-19T14:21:28Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:12:25-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"],"dc:identifier":["6135784","http://hdl.handle.net/2142/23956"],"dc:language":["en"],"dc:rights":["Copyright 1964 William Lauchlin McMillan"],"dc:subject":["ground state of liquid helium","variational wave function","configuration space integrals","Monte Carlo"],"dc:title":["The ground state of liquid helium-four"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:23Z"}