{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/30008"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/30008","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Perturbation theory of two particle bound states in QED for particles of spin ��� 1","abstract":"In this paper we present a generalization of Salpeter's approach to solving the Bethe-Salpeter equation for the hydrogen atom to the case of any two particles of spin ≤ 1. In order to preserve the same general form of Salpeter's scheme the Kemmer-Duffin equations are used to describe the spin 1 or spin 0 particleso The general method involves separating out the single scalar photon exchange as the zero order problem, whose approximate solution is the ordinary Schroedinger equation solution, and developing a perturbation theory to calculate the effects of the other irreducible diagrams of the Bethe-Salpeter equation, As an example of how to work with the formalism developed here we work out the order ɑm/M corrections to the hyperfine structure of atomic deuterium under the assumption of the minimal electromagnetic interaction.","abstract_html":"In this paper we present a generalization of Salpeter's approach to solving the Bethe-Salpeter equation for the hydrogen atom to the case of any two particles of spin ≤ 1. In order to preserve the same general form of Salpeter's scheme the Kemmer-Duffin equations are used to describe the spin 1 or spin 0 particleso The general method involves separating out the single scalar photon exchange as the zero order problem, whose approximate solution is the ordinary Schroedinger equation solution, and developing a perturbation theory to calculate the effects of the other irreducible diagrams of the Bethe-Salpeter equation, As an example of how to work with the formalism developed here we work out the order ɑm/M corrections to the hyperfine structure of atomic deuterium under the assumption of the minimal electromagnetic interaction.","abstract_has_math":false,"creators":["Lund, Carl Meredith"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Sullivan, J.D."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-03-14T19:09:49Z","date_published":"2012-03-14T19:09:49Z","updated_at":"2026-07-22T22:25:29Z","subjects":["Bethe-Salpeter equation","Kemmer-Duffin equations","Schroedinger equation"],"languages":["en"],"rights":["© 1971 Carl Merredith Lund"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/30008","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Sullivan, J.D."]},{"key":"dc:creator","label":"Author","values":["Lund, Carl Meredith"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-03-14T19:09:49Z","10000-01-01","1971"]},{"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."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Bethe-Salpeter equation","Kemmer-Duffin equations","Schroedinger equation"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["© 1971 Carl Merredith Lund"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/30008"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In this paper we present a generalization of Salpeter's approach to solving the Bethe-Salpeter equation for the hydrogen atom to the case of any two particles of spin ≤ 1. In order to preserve the same general form of Salpeter's scheme the Kemmer-Duffin equations are used to describe the spin 1 or spin 0 particleso The general method involves separating out the single scalar photon exchange as the zero order problem, whose approximate solution is the ordinary Schroedinger equation solution, and developing a perturbation theory to calculate the effects of the other irreducible diagrams of the Bethe-Salpeter equation, As an example of how to work with the formalism developed here we work out the order ɑm/M corrections to the hyperfine structure of atomic deuterium under the assumption of the minimal electromagnetic interaction.","Submitted by Megan O'Donnell (mnodonn2@illinois.edu) on 2012-03-14T19:09:48Z No. of bitstreams: 1 1971_lund.pdf: 1915175 bytes, checksum: f79fdede6d67837300ce9e4b55318d33 (MD5)","Made available in DSpace on 2012-03-14T19:09:49Z (GMT). No. of bitstreams: 1 1971_lund.pdf: 1915175 bytes, checksum: f79fdede6d67837300ce9e4b55318d33 (MD5) Previous issue date: 1971","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Megan O'Donnell (mnodonn2@illinois.edu) on 2012-03-14T19:09:49Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:34:49-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: dissertation/thesis","dissertation/thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Perturbation theory of two particle bound states in QED for particles of spin ��� 1","Perturbation theory of two particle bound states in QED for particles of spin grater than or equal to 1"]}]}],"canonical_facts":{"dc:contributor":["Sullivan, J.D."],"dc:creator":["Lund, Carl Meredith"],"dc:date":["2012-03-14T19:09:49Z","10000-01-01","1971"],"dc:description":["In this paper we present a generalization of Salpeter's approach to solving the Bethe-Salpeter equation for the hydrogen atom to the case of any two particles of spin ≤ 1. In order to preserve the same general form of Salpeter's scheme the Kemmer-Duffin equations are used to describe the spin 1 or spin 0 particleso The general method involves separating out the single scalar photon exchange as the zero order problem, whose approximate solution is the ordinary Schroedinger equation solution, and developing a perturbation theory to calculate the effects of the other irreducible diagrams of the Bethe-Salpeter equation, As an example of how to work with the formalism developed here we work out the order ɑm/M corrections to the hyperfine structure of atomic deuterium under the assumption of the minimal electromagnetic interaction.","Submitted by Megan O'Donnell (mnodonn2@illinois.edu) on 2012-03-14T19:09:48Z No. of bitstreams: 1 1971_lund.pdf: 1915175 bytes, checksum: f79fdede6d67837300ce9e4b55318d33 (MD5)","Made available in DSpace on 2012-03-14T19:09:49Z (GMT). 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