https://repositorio.ufba.br/handle/ri/6647
metadata.dc.type: | Artigo de Periódico |
Title: | Galilean-Covariant clifford algebras in the phase-space representation |
Other Titles: | Foundations of Physics |
Authors: | Vianna, J. D. M. Fernandes, M. C. B. Santana, Ademir Eugênio de |
metadata.dc.creator: | Vianna, J. D. M. Fernandes, M. C. B. Santana, Ademir Eugênio de |
Abstract: | We apply the Galilean covariant formulation of quantum dynamics to derive the phase-space representation of the Pauli–Schr¨odinger equation for the density matrix of spin-1/2 particles in the presence of an electromagnetic field. The Liouville operator for the particle with spin follows from using the Wigner– Moyal transformation and a suitable Clifford algebra constructed on the phase space of a (4+1)-dimensional space–time with Galilean geometry. Connections with the algebraic formalism of thermofield dynamics are also investigated. |
Keywords: | Galilei group Clifford algebras phase space |
Publisher: | Springer Verlag |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/6647 |
Issue Date: | 2005 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
File | Description | Size | Format | |
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(180).pdf Restricted Access | 161,25 kB | Adobe PDF | View/Open Request a copy |
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