Bosonization and the many-body problem

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• de Castro Neto, Antonio Helio

Contributors dc:contributor

• Fradkin, Eduardo H.

• Statistics
• Physics, General
• Physics, Condensed Matter

Statement dc:rights

• Copyright 1994 de Castro Neto, Antonio Helio

Language dc:language

eng

Identifier

AAI9512320
(UMI)AAI9512320

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/21298