One particle properties in the 2D Coulomb problem [Elektronische Ressource] : Luttinger-Ward variational approach / von Mayank P. Agnihotri

One particle properties in the 2D Coulomb problem:Luttinger-Ward variational approachVon Der Fakult¨at fu¨r Elektrotechnik, Informationstechnik, Physikder Technischen Universit¨at Carolo-Wilhelminazu Braunschweigzur Erlangung des Grades einesDoktors der Naturwissenschaften(Dr.rer.nat.)genehmigteDissertationvonMayank P. Agnihotriaus Farrukhabad, Indien...1. Referentin: Prof. Dr. G. Zwicknagl2. Referent: Priv.-Doz. Dr. W. Apeleingereicht am: 12.02.2007mu¨ndliche Pru¨fung (Disputation) am: 27.04.2007Dedicated to Prof. S .C. TripathiAcknowledgementsI would like to express my deep and sincere gratitude to my supervisor, Professor Dr.Wolfgang Weller†, Institute of Theoretical Physics (University of Leipzig). His wideknowledge and his logical way of thinking had been of great value for me. His under-standing, encouraging and personal guidance had provided a good basis for the presentthesis.I am deeply grateful to my supervisor, Priv.-Doz. Dr. Walter Apel, Physikalisch-Technische Bundesanstalt Braunschweig for detailed and constructive comments, and forhis important constant support throughout this work.I wish to express my warm and sincere thanks to Priv.-Doz. Dr. Walter Apel, whointroduced metothefield ofCondensed Mattertheoryandguidance duringmy firststepsinto studies of Condensed Matter theory. His ideals and concepts will have a remarkableinfluence on my entire career in the field of Solid State Research.