Solutions for the landau problem using Symplectic representations of the Galilei group
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFBA |
Texto Completo: | http://repositorio.ufba.br/ri/handle/ri/16827 |
Resumo: | Texto completo: acesso restrito. p. 1-12 |
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Vianna, J. D. M.Khanna, Faqir C.Fernandes, M. C. B.Amorim, Ronni G. G.Vianna, J. D. M.Khanna, Faqir C.Fernandes, M. C. B.Amorim, Ronni G. G.2014-12-17T21:46:00Z20130217-751Xhttp://repositorio.ufba.br/ri/handle/ri/16827v. 28, n. 06Texto completo: acesso restrito. p. 1-12Symplectic unitary representations for the Galilei group are studied. The formalism is based on the noncommutative structure of the star-product, and using group theory approach as a guide, a consistent physical theory in phase space is constructed. The state of a quantum mechanics system is described by a quasi-probability amplitude that is in association with the Wigner function. As a result, the Schrödinger and Pauli–Schrödinger equations are derived in phase space. As an application, the Landau problem in phase space is studied. This shows how this method of quantum mechanics in phase space is to be brought to the realm of spatial noncommutative theories.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2014-12-17T13:18:58Z No. of bitstreams: 1 J. D. M. Vianna.pdf: 195049 bytes, checksum: a6111df46c65a2cc129e3754a1aa76ea (MD5)Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2014-12-17T21:46:00Z (GMT) No. of bitstreams: 1 J. D. M. Vianna.pdf: 195049 bytes, checksum: a6111df46c65a2cc129e3754a1aa76ea (MD5)Made available in DSpace on 2014-12-17T21:46:00Z (GMT). No. of bitstreams: 1 J. D. M. Vianna.pdf: 195049 bytes, checksum: a6111df46c65a2cc129e3754a1aa76ea (MD5) Previous issue date: 2013http://dx.doi.org/ 10.1142/S0217751X13500139reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAMoyal productPhase spaceQuantum fieldsGalilei groupLandau problemWigner functionSolutions for the landau problem using Symplectic representations of the Galilei groupInternational Journal of Modern Physics Ainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01info:eu-repo/semantics/openAccessengORIGINALJ. D. M. Vianna.pdfJ. D. M. Vianna.pdfapplication/pdf195049https://repositorio.ufba.br/bitstream/ri/16827/1/J.%20D.%20M.%20Vianna.pdfa6111df46c65a2cc129e3754a1aa76eaMD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/16827/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTJ. D. M. Vianna.pdf.txtJ. D. M. Vianna.pdf.txtExtracted texttext/plain29042https://repositorio.ufba.br/bitstream/ri/16827/3/J.%20D.%20M.%20Vianna.pdf.txt42c16fbb381835d80d470441f5dcdbebMD53ri/168272022-07-05 14:03:49.369oai:repositorio.ufba.br:ri/16827VGVybW8gZGUgTGljZW7vv71hLCBu77+9byBleGNsdXNpdm8sIHBhcmEgbyBkZXDvv71zaXRvIG5vIFJlcG9zaXTvv71yaW8gSW5zdGl0dWNpb25hbCBkYSBVRkJBLgoKIFBlbG8gcHJvY2Vzc28gZGUgc3VibWlzc++/vW8gZGUgZG9jdW1lbnRvcywgbyBhdXRvciBvdSBzZXUgcmVwcmVzZW50YW50ZSBsZWdhbCwgYW8gYWNlaXRhciAKZXNzZSB0ZXJtbyBkZSBsaWNlbu+/vWEsIGNvbmNlZGUgYW8gUmVwb3NpdO+/vXJpbyBJbnN0aXR1Y2lvbmFsIGRhIFVuaXZlcnNpZGFkZSBGZWRlcmFsIGRhIEJhaGlhIApvIGRpcmVpdG8gZGUgbWFudGVyIHVtYSBj77+9cGlhIGVtIHNldSByZXBvc2l077+9cmlvIGNvbSBhIGZpbmFsaWRhZGUsIHByaW1laXJhLCBkZSBwcmVzZXJ2Ye+/ve+/vW8uIApFc3NlcyB0ZXJtb3MsIG7vv71vIGV4Y2x1c2l2b3MsIG1hbnTvv71tIG9zIGRpcmVpdG9zIGRlIGF1dG9yL2NvcHlyaWdodCwgbWFzIGVudGVuZGUgbyBkb2N1bWVudG8gCmNvbW8gcGFydGUgZG8gYWNlcnZvIGludGVsZWN0dWFsIGRlc3NhIFVuaXZlcnNpZGFkZS4KCiBQYXJhIG9zIGRvY3VtZW50b3MgcHVibGljYWRvcyBjb20gcmVwYXNzZSBkZSBkaXJlaXRvcyBkZSBkaXN0cmlidWnvv73vv71vLCBlc3NlIHRlcm1vIGRlIGxpY2Vu77+9YSAKZW50ZW5kZSBxdWU6CgogTWFudGVuZG8gb3MgZGlyZWl0b3MgYXV0b3JhaXMsIHJlcGFzc2Fkb3MgYSB0ZXJjZWlyb3MsIGVtIGNhc28gZGUgcHVibGljYe+/ve+/vWVzLCBvIHJlcG9zaXTvv71yaW8KcG9kZSByZXN0cmluZ2lyIG8gYWNlc3NvIGFvIHRleHRvIGludGVncmFsLCBtYXMgbGliZXJhIGFzIGluZm9ybWHvv73vv71lcyBzb2JyZSBvIGRvY3VtZW50bwooTWV0YWRhZG9zIGVzY3JpdGl2b3MpLgoKIERlc3RhIGZvcm1hLCBhdGVuZGVuZG8gYW9zIGFuc2Vpb3MgZGVzc2EgdW5pdmVyc2lkYWRlIGVtIG1hbnRlciBzdWEgcHJvZHXvv73vv71vIGNpZW5077+9ZmljYSBjb20gCmFzIHJlc3Ryae+/ve+/vWVzIGltcG9zdGFzIHBlbG9zIGVkaXRvcmVzIGRlIHBlcmnvv71kaWNvcy4KCiBQYXJhIGFzIHB1YmxpY2Hvv73vv71lcyBzZW0gaW5pY2lhdGl2YXMgcXVlIHNlZ3VlbSBhIHBvbO+/vXRpY2EgZGUgQWNlc3NvIEFiZXJ0bywgb3MgZGVw77+9c2l0b3MgCmNvbXB1bHPvv71yaW9zIG5lc3NlIHJlcG9zaXTvv71yaW8gbWFudO+/vW0gb3MgZGlyZWl0b3MgYXV0b3JhaXMsIG1hcyBtYW5077+9bSBhY2Vzc28gaXJyZXN0cml0byAKYW8gbWV0YWRhZG9zIGUgdGV4dG8gY29tcGxldG8uIEFzc2ltLCBhIGFjZWl0Ye+/ve+/vW8gZGVzc2UgdGVybW8gbu+/vW8gbmVjZXNzaXRhIGRlIGNvbnNlbnRpbWVudG8KIHBvciBwYXJ0ZSBkZSBhdXRvcmVzL2RldGVudG9yZXMgZG9zIGRpcmVpdG9zLCBwb3IgZXN0YXJlbSBlbSBpbmljaWF0aXZhcyBkZSBhY2Vzc28gYWJlcnRvLgo=Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:49Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false |
dc.title.pt_BR.fl_str_mv |
Solutions for the landau problem using Symplectic representations of the Galilei group |
dc.title.alternative.pt_BR.fl_str_mv |
International Journal of Modern Physics A |
title |
Solutions for the landau problem using Symplectic representations of the Galilei group |
spellingShingle |
Solutions for the landau problem using Symplectic representations of the Galilei group Vianna, J. D. M. Moyal product Phase space Quantum fields Galilei group Landau problem Wigner function |
title_short |
Solutions for the landau problem using Symplectic representations of the Galilei group |
title_full |
Solutions for the landau problem using Symplectic representations of the Galilei group |
title_fullStr |
Solutions for the landau problem using Symplectic representations of the Galilei group |
title_full_unstemmed |
Solutions for the landau problem using Symplectic representations of the Galilei group |
title_sort |
Solutions for the landau problem using Symplectic representations of the Galilei group |
author |
Vianna, J. D. M. |
author_facet |
Vianna, J. D. M. Khanna, Faqir C. Fernandes, M. C. B. Amorim, Ronni G. G. |
author_role |
author |
author2 |
Khanna, Faqir C. Fernandes, M. C. B. Amorim, Ronni G. G. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Vianna, J. D. M. Khanna, Faqir C. Fernandes, M. C. B. Amorim, Ronni G. G. Vianna, J. D. M. Khanna, Faqir C. Fernandes, M. C. B. Amorim, Ronni G. G. |
dc.subject.por.fl_str_mv |
Moyal product Phase space Quantum fields Galilei group Landau problem Wigner function |
topic |
Moyal product Phase space Quantum fields Galilei group Landau problem Wigner function |
description |
Texto completo: acesso restrito. p. 1-12 |
publishDate |
2013 |
dc.date.issued.fl_str_mv |
2013 |
dc.date.accessioned.fl_str_mv |
2014-12-17T21:46:00Z |
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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article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://repositorio.ufba.br/ri/handle/ri/16827 |
dc.identifier.issn.none.fl_str_mv |
0217-751X |
dc.identifier.number.pt_BR.fl_str_mv |
v. 28, n. 06 |
identifier_str_mv |
0217-751X v. 28, n. 06 |
url |
http://repositorio.ufba.br/ri/handle/ri/16827 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
dc.source.pt_BR.fl_str_mv |
http://dx.doi.org/ 10.1142/S0217751X13500139 |
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