Please use this identifier to cite or link to this item:
https://repositorio.ufba.br/handle/ri/16827
metadata.dc.type: | Artigo de Periódico |
Title: | Solutions for the landau problem using Symplectic representations of the Galilei group |
Other Titles: | International Journal of Modern Physics A |
Authors: | Vianna, J. D. M. Khanna, Faqir C. Fernandes, M. C. B. Amorim, Ronni G. G. |
metadata.dc.creator: | Vianna, J. D. M. Khanna, Faqir C. Fernandes, M. C. B. Amorim, Ronni G. G. |
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. |
Keywords: | Moyal product Phase space Quantum fields Galilei group Landau problem Wigner function |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/16827 |
Issue Date: | 2013 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
J. D. M. Vianna.pdf | 190,48 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.