Symplectic quantum mechanics
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2004 |
| Outros Autores: | , , , |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UFBA |
| Texto Completo: | http://www.repositorio.ufba.br/ri/handle/ri/7190 |
Resumo: | p. 492-510 |
| id |
UFBA-2_3cec33d3d22490551e21141b580a488d |
|---|---|
| oai_identifier_str |
oai:repositorio.ufba.br:ri/7190 |
| network_acronym_str |
UFBA-2 |
| network_name_str |
Repositório Institucional da UFBA |
| repository_id_str |
1932 |
| spelling |
Oliveira, M. D.Fernandes, M. C. B.Khanna, Faqir C.Santana, Ademir Eugênio deVianna, J. D. M.Oliveira, M. D.Fernandes, M. C. B.Khanna, Faqir C.Santana, Ademir Eugênio deVianna, J. D. M.2012-11-13T12:56:43Z20040003-4916http://www.repositorio.ufba.br/ri/handle/ri/7190v. 312, n. 2p. 492-510Using the notion of symplectic structure and Weyl (or star) product of non-commutative geometry, we construct unitary representations for the Galilei group and show how to rewrite the Schr€odinger equation in phase space. This approach gives rise to a new procedure to derive Wigner functions without the use of the Liouville–von Neumann equation. Applications are presented by deriving the states of linear and nonlinear oscillators in terms of amplitudes of probability in phase space. The notion of coherent states is also discussed in this context.Submitted by JURANDI DE SOUZA SILVA (jssufba@hotmail.com) on 2012-11-13T12:56:43Z No. of bitstreams: 1 CONFIG~1....0-S0003491604000466-main.pdf: 257311 bytes, checksum: cdac403266a7956a1a4adf6bbf2f394d (MD5)Made available in DSpace on 2012-11-13T12:56:43Z (GMT). No. of bitstreams: 1 CONFIG~1....0-S0003491604000466-main.pdf: 257311 bytes, checksum: cdac403266a7956a1a4adf6bbf2f394d (MD5) Previous issue date: 2004Elsevierhttp://dx.doi.org/10.1016/j.aop.2004.03.009,reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAWeyl ProductGalilei groupPhase spaceSymplectic quantum mechanicsAnnals of Physicsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessORIGINALCONFIG~1....0-S0003491604000466-main.pdfCONFIG~1....0-S0003491604000466-main.pdfapplication/pdf257311https://repositorio.ufba.br/bitstream/ri/7190/1/CONFIG~1....0-S0003491604000466-main.pdfcdac403266a7956a1a4adf6bbf2f394dMD51LICENSElicense.txtlicense.txttext/plain1809https://repositorio.ufba.br/bitstream/ri/7190/2/license.txt8bb3e3eb871f5854a9ec419f68651b60MD52TEXTCONFIG~1....0-S0003491604000466-main.pdf.txtCONFIG~1....0-S0003491604000466-main.pdf.txtExtracted texttext/plain32147https://repositorio.ufba.br/bitstream/ri/7190/3/CONFIG~1....0-S0003491604000466-main.pdf.txt8d94eba8f15794f7fd23ca1e23a95cc7MD53ri/71902022-07-05 14:03:45.931oai:repositorio.ufba.br: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ório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:45Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false |
| dc.title.pt_BR.fl_str_mv |
Symplectic quantum mechanics |
| dc.title.alternative.pt_BR.fl_str_mv |
Annals of Physics |
| title |
Symplectic quantum mechanics |
| spellingShingle |
Symplectic quantum mechanics Oliveira, M. D. Weyl Product Galilei group Phase space |
| title_short |
Symplectic quantum mechanics |
| title_full |
Symplectic quantum mechanics |
| title_fullStr |
Symplectic quantum mechanics |
| title_full_unstemmed |
Symplectic quantum mechanics |
| title_sort |
Symplectic quantum mechanics |
| author |
Oliveira, M. D. |
| author_facet |
Oliveira, M. D. Fernandes, M. C. B. Khanna, Faqir C. Santana, Ademir Eugênio de Vianna, J. D. M. |
| author_role |
author |
| author2 |
Fernandes, M. C. B. Khanna, Faqir C. Santana, Ademir Eugênio de Vianna, J. D. M. |
| author2_role |
author author author author |
| dc.contributor.author.fl_str_mv |
Oliveira, M. D. Fernandes, M. C. B. Khanna, Faqir C. Santana, Ademir Eugênio de Vianna, J. D. M. Oliveira, M. D. Fernandes, M. C. B. Khanna, Faqir C. Santana, Ademir Eugênio de Vianna, J. D. M. |
| dc.subject.por.fl_str_mv |
Weyl Product Galilei group Phase space |
| topic |
Weyl Product Galilei group Phase space |
| description |
p. 492-510 |
| publishDate |
2004 |
| dc.date.issued.fl_str_mv |
2004 |
| dc.date.accessioned.fl_str_mv |
2012-11-13T12:56:43Z |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://www.repositorio.ufba.br/ri/handle/ri/7190 |
| dc.identifier.issn.none.fl_str_mv |
0003-4916 |
| dc.identifier.number.pt_BR.fl_str_mv |
v. 312, n. 2 |
| identifier_str_mv |
0003-4916 v. 312, n. 2 |
| url |
http://www.repositorio.ufba.br/ri/handle/ri/7190 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.publisher.none.fl_str_mv |
Elsevier |
| publisher.none.fl_str_mv |
Elsevier |
| dc.source.pt_BR.fl_str_mv |
http://dx.doi.org/10.1016/j.aop.2004.03.009, |
| dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFBA instname:Universidade Federal da Bahia (UFBA) instacron:UFBA |
| instname_str |
Universidade Federal da Bahia (UFBA) |
| instacron_str |
UFBA |
| institution |
UFBA |
| reponame_str |
Repositório Institucional da UFBA |
| collection |
Repositório Institucional da UFBA |
| bitstream.url.fl_str_mv |
https://repositorio.ufba.br/bitstream/ri/7190/1/CONFIG~1....0-S0003491604000466-main.pdf https://repositorio.ufba.br/bitstream/ri/7190/2/license.txt https://repositorio.ufba.br/bitstream/ri/7190/3/CONFIG~1....0-S0003491604000466-main.pdf.txt |
| bitstream.checksum.fl_str_mv |
cdac403266a7956a1a4adf6bbf2f394d 8bb3e3eb871f5854a9ec419f68651b60 8d94eba8f15794f7fd23ca1e23a95cc7 |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 |
| repository.name.fl_str_mv |
Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA) |
| repository.mail.fl_str_mv |
|
| _version_ |
1808459410864865280 |