Nota de FísicaPublicado
Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation.
Ricardo Kullock; P. G. Castro; B. Chakraborty
Dados da publicação
- Autores
- Ricardo Kullock; P. G. Castro; B. Chakraborty
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 26/01/2011
- Descrição
- Noncommutative oscillators are first-quantized through an abelian Drinfel'd twist deformation of a Hopf algebra and its action on a module. Several important and subtle issues making possible the quantization are solved. The spectrum of the single-particle Hamiltonians is computed. The multi-particle Hamiltonians are fixed, unambiguously, by the Hopf algebra coproduct. The symmetry under particle exchange is guaranteed. In $d=2$ dimensions the rotational invariance is preserved, while in $d=3$ the $so(3)$ rotational invariance is broken down to an $so(2)$ invariance.
- Ano
- 2010
- Número
- CBPF-NF-003/10
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não