{"id":{"repo_id":"unt","oai_identifier":"info:ark/67531/metadc4210"},"canonical_url":"https://search.dev.ndltd.org/etd/unt/info:ark/67531/metadc4210","repository":{"repo_id":"unt","name":"University of North Texas","base_url":"https://digital.library.unt.edu/oai/"},"display":{"title":"Quantization Of Spin Direction For Solitary Waves in a Uniform Magnetic Field","abstract":"It is known that there are nonlinear wave equations with localized solitary wave solutions. Some of these solitary waves are stable (with respect to a small perturbation of initial data)and have nonzero spin (nonzero intrinsic angular momentum in the centre of momentum frame). In this paper we consider vector-valued solitary wave solutions to a nonlinear Klein-Gordon equation and investigate the behavior of these spinning solitary waves under the influence of an externally imposed uniform magnetic field. We find that the only stationary spinning solitary wave solutions have spin parallel or antiparallel to the magnetic field direction.","abstract_html":"It is known that there are nonlinear wave equations with localized solitary wave solutions. Some of these solitary waves are stable (with respect to a small perturbation of initial data)and have nonzero spin (nonzero intrinsic angular momentum in the centre of momentum frame). In this paper we consider vector-valued solitary wave solutions to a nonlinear Klein-Gordon equation and investigate the behavior of these spinning solitary waves under the influence of an externally imposed uniform magnetic field. We find that the only stationary spinning solitary wave solutions have spin parallel or antiparallel to the magnetic field direction.","abstract_has_math":false,"creators":["Hoq, Qazi Enamul"],"institution":"University of North Texas","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Warchall, Henry A.","Iaia, Joseph","Neuberger, John"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2003,"date_issued":"2003-05","date_published":"2003-05","updated_at":"2026-07-24T05:35:09Z","subjects":["Nonlinear wave equations.","Klein-Gordon equation.","stationary solutions","spin direction","non-linear wave","solitary waves","Klein-Gordon equation"],"languages":["English"],"rights":["Public","Copyright","Hoq, Qazi Enamul","Copyright is held by the author, unless otherwise noted. All rights reserved."],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["oclc: 53185488","https://digital.library.unt.edu/ark:/67531/metadc4210/","ark: ark:/67531/metadc4210"],"render_values":[{"text":"oclc: 53185488","href":null,"code":true},{"text":"https://digital.library.unt.edu/ark:/67531/metadc4210/","href":"https://digital.library.unt.edu/ark:/67531/metadc4210/","code":true},{"text":"ark: ark:/67531/metadc4210","href":null,"code":true}]}]},"links":{"outbound_url":"https://doi.org/10.12794/metadc4210","outbound_label":"DOI","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Warchall, Henry A.","Iaia, Joseph","Neuberger, John"]},{"key":"dc:creator","label":"Author","values":["Hoq, Qazi Enamul"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2003-05"]},{"key":"dc:publisher","label":"Institution","values":["University of North Texas"]},{"key":"dc:type","label":"Dc Type","values":["Thesis or Dissertation"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Nonlinear wave equations.","Klein-Gordon equation.","stationary solutions","spin direction","non-linear wave","solitary waves","Klein-Gordon equation"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:rights","label":"Dc Rights","values":["Public","Copyright","Hoq, Qazi Enamul","Copyright is held by the author, unless otherwise noted. All rights reserved."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["oclc: 53185488","doi: 10.12794/metadc4210","https://digital.library.unt.edu/ark:/67531/metadc4210/","ark: ark:/67531/metadc4210"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["It is known that there are nonlinear wave equations with localized solitary wave solutions. Some of these solitary waves are stable (with respect to a small perturbation of initial data)and have nonzero spin (nonzero intrinsic angular momentum in the centre of momentum frame). In this paper we consider vector-valued solitary wave solutions to a nonlinear Klein-Gordon equation and investigate the behavior of these spinning solitary waves under the influence of an externally imposed uniform magnetic field. We find that the only stationary spinning solitary wave solutions have spin parallel or antiparallel to the magnetic field direction."]},{"key":"dc:format","label":"Dc Format","values":["Text"]},{"key":"dc:title","label":"Title","values":["Quantization Of Spin Direction For Solitary Waves in a Uniform Magnetic Field"]}]}],"canonical_facts":{"dc:contributor":["Warchall, Henry A.","Iaia, Joseph","Neuberger, John"],"dc:creator":["Hoq, Qazi Enamul"],"dc:date":["2003-05"],"dc:description":["It is known that there are nonlinear wave equations with localized solitary wave solutions. Some of these solitary waves are stable (with respect to a small perturbation of initial data)and have nonzero spin (nonzero intrinsic angular momentum in the centre of momentum frame). In this paper we consider vector-valued solitary wave solutions to a nonlinear Klein-Gordon equation and investigate the behavior of these spinning solitary waves under the influence of an externally imposed uniform magnetic field. We find that the only stationary spinning solitary wave solutions have spin parallel or antiparallel to the magnetic field direction."],"dc:format":["Text"],"dc:identifier":["oclc: 53185488","doi: 10.12794/metadc4210","https://digital.library.unt.edu/ark:/67531/metadc4210/","ark: ark:/67531/metadc4210"],"dc:language":["English"],"dc:publisher":["University of North Texas"],"dc:rights":["Public","Copyright","Hoq, Qazi Enamul","Copyright is held by the author, unless otherwise noted. All rights reserved."],"dc:subject":["Nonlinear wave equations.","Klein-Gordon equation.","stationary solutions","spin direction","non-linear wave","solitary waves","Klein-Gordon equation"],"dc:title":["Quantization Of Spin Direction For Solitary Waves in a Uniform Magnetic Field"],"dc:type":["Thesis or Dissertation"]},"updated_at":"2026-07-24T05:35:09Z"}