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Pines, David Ren, De-Ming 2011-06-02T15:52:20Z 2011-06-02T15:52:20Z 10000-01-01 1987 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 3473946 http://hdl.handle.net/2142/25218 en 1987 De-Ming Ren electron gas renormalized plasmons large momentum transfer Green's functions On the dynamic structure factor for the electron gas Dissertation / Thesis text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.