{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/25218"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/25218","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"On the dynamic structure factor for the electron gas","abstract":"We cast the well-known electron gas model into a path integral version, then studied its dynamic structure factor S(q,q0 ) systematically. Our study shows that qc defined in RPA not only is the threshold for a bare plasmon, but also in general the one for any number of renormalized plasmons. We have particularly studied large momentum transfer case (q > qc). We proved that the self-energy correction appearing in the pertinent Green functions of S(q,q0 ) vanishes. Those theoretical results indicate that the first peak in the fine structure of S(q,q 0 ) observed in experiments for large q (~ 1.5 qf) neither comes from a plasmon nor occurs due to a particle life-time or a self-energy correction. Our explanation for the first peak is that it arises from a strong correlation between single-pair excitation and multi-pair excitation involving only a few pairs (CSF). This conclusion was reached following a qualitative study of a two particle irreducible part of diagrams; some further elaborate numerical calculations are needed to confirm this hypothesis. An approximate, but nevertheless closed, formula for summing a set of screened ladder diagram (SLD), which describes the strongest correlation between single-pair and a few (two) pairs, is presented.","abstract_html":"We cast the well-known electron gas model into a path integral version, then studied its dynamic structure factor S(q,q0 ) systematically. Our study shows that qc defined in RPA not only is the threshold for a bare plasmon, but also in general the one for any number of renormalized plasmons. We have particularly studied large momentum transfer case (q > qc). We proved that the self-energy correction appearing in the pertinent Green functions of S(q,q0 ) vanishes. Those theoretical results indicate that the first peak in the fine structure of S(q,q 0 ) observed in experiments for large q (~ 1.5 qf) neither comes from a plasmon nor occurs due to a particle life-time or a self-energy correction. Our explanation for the first peak is that it arises from a strong correlation between single-pair excitation and multi-pair excitation involving only a few pairs (CSF). This conclusion was reached following a qualitative study of a two particle irreducible part of diagrams; some further elaborate numerical calculations are needed to confirm this hypothesis. An approximate, but nevertheless closed, formula for summing a set of screened ladder diagram (SLD), which describes the strongest correlation between single-pair and a few (two) pairs, is presented.","abstract_has_math":false,"creators":["Ren, De-Ming"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Pines, David"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-06-02T15:52:20Z","date_published":"2011-06-02T15:52:20Z","updated_at":"2026-07-22T22:25:24Z","subjects":["electron gas","renormalized plasmons","large momentum transfer","Green's functions"],"languages":["en"],"rights":["1987 De-Ming Ren"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["3473946"],"render_values":[{"text":"3473946","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/25218","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Pines, David"]},{"key":"dc:creator","label":"Author","values":["Ren, De-Ming"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-06-02T15:52:20Z","10000-01-01","1987"]},{"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."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["electron gas","renormalized plasmons","large momentum transfer","Green's functions"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1987 De-Ming Ren"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["3473946","http://hdl.handle.net/2142/25218"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We cast the well-known electron gas model into a path integral version, then studied its dynamic structure factor S(q,q0 ) systematically. Our study shows that qc defined in RPA not only is the threshold for a bare plasmon, but also in general the one for any number of renormalized plasmons. We have particularly studied large momentum transfer case (q > qc). We proved that the self-energy correction appearing in the pertinent Green functions of S(q,q0 ) vanishes. Those theoretical results indicate that the first peak in the fine structure of S(q,q 0 ) observed in experiments for large q (~ 1.5 qf) neither comes from a plasmon nor occurs due to a particle life-time or a self-energy correction. Our explanation for the first peak is that it arises from a strong correlation between single-pair excitation and multi-pair excitation involving only a few pairs (CSF). This conclusion was reached following a qualitative study of a two particle irreducible part of diagrams; some further elaborate numerical calculations are needed to confirm this hypothesis. An approximate, but nevertheless closed, formula for summing a set of screened ladder diagram (SLD), which describes the strongest correlation between single-pair and a few (two) pairs, is presented.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-02T15:52:20Z No. of bitstreams: 1 1987_ren.pdf: 6083605 bytes, checksum: f0878b9664ef26ef940b57650fff2e0a (MD5)","Made available in DSpace on 2011-06-02T15:52:20Z (GMT). No. of bitstreams: 1 1987_ren.pdf: 6083605 bytes, checksum: f0878b9664ef26ef940b57650fff2e0a (MD5) Previous issue date: 1987","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-06-02T15:52:20Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:11:26-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["On the dynamic structure factor for the electron gas"]}]}],"canonical_facts":{"dc:contributor":["Pines, David"],"dc:creator":["Ren, De-Ming"],"dc:date":["2011-06-02T15:52:20Z","10000-01-01","1987"],"dc:description":["We cast the well-known electron gas model into a path integral version, then studied its dynamic structure factor S(q,q0 ) systematically. Our study shows that qc defined in RPA not only is the threshold for a bare plasmon, but also in general the one for any number of renormalized plasmons. We have particularly studied large momentum transfer case (q > qc). We proved that the self-energy correction appearing in the pertinent Green functions of S(q,q0 ) vanishes. Those theoretical results indicate that the first peak in the fine structure of S(q,q 0 ) observed in experiments for large q (~ 1.5 qf) neither comes from a plasmon nor occurs due to a particle life-time or a self-energy correction. Our explanation for the first peak is that it arises from a strong correlation between single-pair excitation and multi-pair excitation involving only a few pairs (CSF). This conclusion was reached following a qualitative study of a two particle irreducible part of diagrams; some further elaborate numerical calculations are needed to confirm this hypothesis. An approximate, but nevertheless closed, formula for summing a set of screened ladder diagram (SLD), which describes the strongest correlation between single-pair and a few (two) pairs, is presented.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-02T15:52:20Z No. of bitstreams: 1 1987_ren.pdf: 6083605 bytes, checksum: f0878b9664ef26ef940b57650fff2e0a (MD5)","Made available in DSpace on 2011-06-02T15:52:20Z (GMT). No. of bitstreams: 1 1987_ren.pdf: 6083605 bytes, checksum: f0878b9664ef26ef940b57650fff2e0a (MD5) Previous issue date: 1987","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-06-02T15:52:20Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:11:26-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"],"dc:identifier":["3473946","http://hdl.handle.net/2142/25218"],"dc:language":["en"],"dc:rights":["1987 De-Ming Ren"],"dc:subject":["electron gas","renormalized plasmons","large momentum transfer","Green's functions"],"dc:title":["On the dynamic structure factor for the electron gas"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-22T22:25:24Z"}