Nota de FísicaPublicado
An Unfolded Quantization for Twisted Hopf Algebras
F. Toppan
Dados da publicação
- Autores
- F. Toppan
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 07/12/2011
- Descrição
- In this talk I discuss a recently developed ``Unfolded Quantization Framework". It allows to introduce a Hamiltonian Second Quantization based on a Hopf algebra endowed with a coproduct satisfying, for the Hamiltonian, the physical requirement of being a primitive element. The scheme can be applied to theories deformed via a Drinfel'd twist. I discuss in particular two cases: the abelian twist deformation of a rotationally invariant nonrelativistic Quantum Mechanics (the twist induces a standard noncommutativity) and the Jordanian twist of the harmonic oscillator. In the latter case the twist induces a Snyder non-commutativity for the space-coordinates, with a pseudo-Hermitian deformed Hamiltonian.\par The ``Unfolded Quantization Framework" unambiguously fixes the non-additive effective interactions in the multi-particle sector of the deformed quantum theory. The statistics of the particles is preserved even in the presence of a deformation.
- Ano
- 2011
- Número
- CBPF-NF-005/11
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não