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Title:Bosonization and the many-body problem
Author(s):de Castro Neto, Antonio Helio
Doctoral Committee Chair(s):Fradkin, Eduardo H.
Department / Program:Physics
Discipline:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Statistics
Physics, General
Physics, Condensed Matter
Abstract:In this thesis the method of bosonization of fermionic many-body systems in any number of dimensions is developed. After an introduction to the problem in chapter 1 and to the method of bosonization in chapter 2 (with its application to the non-interacting problem) the Fermi liquid behavior of interacting fermions in dimensions higher than one is discussed in chapter 3. In chapter 4 I rederive the well-known bosonization of the Tomonaga-Luttinger model in one dimension within the framework discussed in the preceding chapters. In chapter 5 I present the bosonization of elementary excitations of exactly solvable one dimensional systems with special emphasis on the Hubbard chain. Chapter 6 contains the conclusions.
Issue Date:1994
Type:Text
Language:English
URI:http://hdl.handle.net/2142/21298
Rights Information:Copyright 1994 de Castro Neto, Antonio Helio
Date Available in IDEALS:2011-05-07
Identifier in Online Catalog:AAI9512320
OCLC Identifier:(UMI)AAI9512320


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