{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/21298"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/21298","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Bosonization and the many-body problem","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.","abstract_html":"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.","abstract_has_math":false,"creators":["de Castro Neto, Antonio Helio"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Fradkin, Eduardo H."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T13:04:33Z","date_published":"2011-05-07T13:04:33Z","updated_at":"2026-07-22T22:25:17Z","subjects":["Statistics","Physics, General","Physics, Condensed Matter"],"languages":["eng"],"rights":["Copyright 1994 de Castro Neto, Antonio Helio"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9512320","(UMI)AAI9512320"],"render_values":[{"text":"AAI9512320","href":null,"code":true},{"text":"(UMI)AAI9512320","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/21298","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Fradkin, Eduardo H."]},{"key":"dc:creator","label":"Author","values":["de Castro Neto, Antonio Helio"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T13:04:33Z","10000-01-01","1994"]},{"key":"dc:type","label":"Dc Type","values":["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."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Statistics","Physics, General","Physics, Condensed Matter"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1994 de Castro Neto, Antonio Helio"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9512320","(UMI)AAI9512320","http://hdl.handle.net/2142/21298"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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.","Made available in DSpace on 2011-05-07T13:04:33Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9512320.pdf: 4696725 bytes, checksum: 3263950a7e8627ff9281093287ac260f (MD5) Previous issue date: 1994","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:49:49Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:22:42-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["Bosonization and the many-body problem"]}]}],"canonical_facts":{"dc:contributor":["Fradkin, Eduardo H."],"dc:creator":["de Castro Neto, Antonio Helio"],"dc:date":["2011-05-07T13:04:33Z","10000-01-01","1994"],"dc:description":["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.","Made available in DSpace on 2011-05-07T13:04:33Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9512320.pdf: 4696725 bytes, checksum: 3263950a7e8627ff9281093287ac260f (MD5) Previous issue date: 1994","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:49:49Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:22:42-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"],"dc:identifier":["AAI9512320","(UMI)AAI9512320","http://hdl.handle.net/2142/21298"],"dc:language":["eng"],"dc:rights":["Copyright 1994 de Castro Neto, Antonio Helio"],"dc:subject":["Statistics","Physics, General","Physics, Condensed Matter"],"dc:title":["Bosonization and the many-body problem"],"dc:type":["text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:17Z"}