Solutions for the landau problem using Symplectic representations of the Galilei group

Vianna, J. D. M.; Khanna, Faqir C.; Fernandes, M. C. B.; Amorim, Ronni G. G.

dc.contributor.author	Vianna, J. D. M.
dc.contributor.author	Khanna, Faqir C.
dc.contributor.author	Fernandes, M. C. B.
dc.contributor.author	Amorim, Ronni G. G.
dc.creator	Vianna, J. D. M.
dc.creator	Khanna, Faqir C.
dc.creator	Fernandes, M. C. B.
dc.creator	Amorim, Ronni G. G.
dc.date.accessioned	2014-12-17T21:46:00Z
dc.date.issued	2013
dc.identifier.issn	0217-751X
dc.identifier.uri	http://repositorio.ufba.br/ri/handle/ri/16827
dc.description	Texto completo: acesso restrito. p. 1-12	pt_BR
dc.description.abstract	Symplectic 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.	pt_BR
dc.language.iso	en	pt_BR
dc.rights	Acesso Aberto	pt_BR
dc.source	http://dx.doi.org/ 10.1142/S0217751X13500139	pt_BR
dc.subject	Moyal product	pt_BR
dc.subject	Phase space	pt_BR
dc.subject	Quantum fields	pt_BR
dc.subject	Galilei group	pt_BR
dc.subject	Landau problem	pt_BR
dc.subject	Wigner function	pt_BR
dc.title	Solutions for the landau problem using Symplectic representations of the Galilei group	pt_BR
dc.title.alternative	International Journal of Modern Physics A	pt_BR
dc.type	Artigo de Periódico	pt_BR
dc.identifier.number	v. 28, n. 06	pt_BR
dc.embargo.liftdate	10000-01-01