Relativistic scalar Aharonov–Bohm scattering

Detalhes bibliográficos
Autor(a) principal: Gomes, M.
Data de Publicação: 2000
Outros Autores: Malbouisson, J. M. C., Rodrigues, A. G., Silva, A. J. da
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/13839
Resumo: p. 5520-5529
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spelling Gomes, M.Malbouisson, J. M. C.Rodrigues, A. G.Silva, A. J. daGomes, M.Malbouisson, J. M. C.Rodrigues, A. G.Silva, A. J. da2013-11-22T12:03:54Z2013-11-22T12:03:54Z20000305-4470http://repositorio.ufba.br/ri/handle/ri/13839p. 5520-5529We discuss the scattering of relativistic spin zero particles by an infinitely long and arbitrarily thin solenoid. The exact solution of the first-quantized problem can be obtained as a mimic of the nonrelativistic case, either in the original Aharonov–Bohm way or by using the Berry magnetization scheme. The perturbative treatment is developed in the Feshbach–Villars two-component formalism for the Klein–Gordon equation and it is shown that it also requires renormalization as in the Schr¨odinger counterpart. The results are compared with those of the field theoretical approach, which corresponds to the two-body sector of the scalar Chern–Simons theory.Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-07-24T18:31:04Z No. of bitstreams: 1 77777777777777777.pdf: 107963 bytes, checksum: f8589124f6e28ab390aa754939d7af17 (MD5)Approved for entry into archive by Rodrigo Meirelles (rodrigomei@ufba.br) on 2013-11-22T12:03:54Z (GMT) No. of bitstreams: 1 77777777777777777.pdf: 107963 bytes, checksum: f8589124f6e28ab390aa754939d7af17 (MD5)Made available in DSpace on 2013-11-22T12:03:54Z (GMT). No. of bitstreams: 1 77777777777777777.pdf: 107963 bytes, checksum: f8589124f6e28ab390aa754939d7af17 (MD5) Previous issue date: 2000SalvadorJournal of physics A: Mathematical and generalRelativistic scalar Aharonov–Bohm scatteringJournal of physics A: Mathematical and generalinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengreponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAinfo:eu-repo/semantics/openAccessORIGINAL77777777777777777.pdf77777777777777777.pdfapplication/pdf107963https://repositorio.ufba.br/bitstream/ri/13839/1/77777777777777777.pdff8589124f6e28ab390aa754939d7af17MD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/13839/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT77777777777777777.pdf.txt77777777777777777.pdf.txtExtracted texttext/plain22925https://repositorio.ufba.br/bitstream/ri/13839/3/77777777777777777.pdf.txt4403ce7efb4e39c05344deb7ccdadea6MD53ri/138392022-07-05 14:02:50.588oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:02:50Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Relativistic scalar Aharonov–Bohm scattering
dc.title.alternative.pt_BR.fl_str_mv Journal of physics A: Mathematical and general
title Relativistic scalar Aharonov–Bohm scattering
spellingShingle Relativistic scalar Aharonov–Bohm scattering
Gomes, M.
title_short Relativistic scalar Aharonov–Bohm scattering
title_full Relativistic scalar Aharonov–Bohm scattering
title_fullStr Relativistic scalar Aharonov–Bohm scattering
title_full_unstemmed Relativistic scalar Aharonov–Bohm scattering
title_sort Relativistic scalar Aharonov–Bohm scattering
author Gomes, M.
author_facet Gomes, M.
Malbouisson, J. M. C.
Rodrigues, A. G.
Silva, A. J. da
author_role author
author2 Malbouisson, J. M. C.
Rodrigues, A. G.
Silva, A. J. da
author2_role author
author
author
dc.contributor.author.fl_str_mv Gomes, M.
Malbouisson, J. M. C.
Rodrigues, A. G.
Silva, A. J. da
Gomes, M.
Malbouisson, J. M. C.
Rodrigues, A. G.
Silva, A. J. da
description p. 5520-5529
publishDate 2000
dc.date.issued.fl_str_mv 2000
dc.date.accessioned.fl_str_mv 2013-11-22T12:03:54Z
dc.date.available.fl_str_mv 2013-11-22T12:03:54Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.issn.none.fl_str_mv 0305-4470
identifier_str_mv 0305-4470
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dc.publisher.none.fl_str_mv Journal of physics A: Mathematical and general
publisher.none.fl_str_mv Journal of physics A: Mathematical and general
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instname:Universidade Federal da Bahia (UFBA)
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