Repositório Digital

A- A A+

Noncommutative quantum mechanics as a gauge theory

.

Noncommutative quantum mechanics as a gauge theory

Mostrar registro completo

Estatísticas

Título Noncommutative quantum mechanics as a gauge theory
Autor Bemfica, Fábio Sperotto
Girotti, Horacio Oscar
Abstract The classical counterpart of noncommutative quantum mechanics is a constrained system containing only second-class constraints. The embedding procedure formulated by Batalin, Fradkin and Tyutin (BFT) enables one to transform this system into an Abelian gauge theory exhibiting only first class constraints. The appropriateness of the BFT embedding, as implemented in this work, is verified by showing that there exists a one to one mapping linking the second-class model with the gauge invariant sector of the gauge theory. As is known, the functional quantization of a gauge theory calls for the elimination of its gauge freedom. Then, we have at our disposal an infinite set of alternative descriptions for noncommutative quantum mechanics, one for each gauge. We study the relevant features of this infinite set of correspondences. The functional quantization of the gauge theory is explicitly performed for two gauges and the results compared with that corresponding to the second-class system. Within the operator framework the gauge theory is quantized by using Dirac’s method.
Contido em Physical review. D. Particles, fields, gravitation, and cosmology. College Park. Vol. 79, no. 12 (June 2009), 125024, 6 p.
Assunto Equacao de dirac
Mecânica quântica
Sistemas não comutativos
Teoria de campos de calibres
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/116134
Arquivos Descrição Formato
000734112.pdf (115.3Kb) Texto completo (inglês) Adobe PDF Visualizar/abrir

Este item está licenciado na Creative Commons License

Este item aparece na(s) seguinte(s) coleção(ões)


Mostrar registro completo

Percorrer



  • O autor é titular dos direitos autorais dos documentos disponíveis neste repositório e é vedada, nos termos da lei, a comercialização de qualquer espécie sem sua autorização prévia.
    Projeto gráfico elaborado pelo Caixola - Clube de Criação Fabico/UFRGS Powered by DSpace software, Version 1.8.1.