Three Natural Generalizations of Fedosov Quantization
Název česky | Three Natural Generalizations of Fedosov Quantization |
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Autoři | |
Rok publikování | 2009 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | SIGMA |
Fakulta / Pracoviště MU | |
Citace | |
www | http://arxiv.org/abs/0803.4201 |
Doi | http://dx.doi.org/10.3842/SIGMA.2009.036 |
Obor | Teoretická fyzika |
Klíčová slova | Deformation Quantization; Fedosov Quantization; Star Product; Supermanifolds; Symplectic Geometry. |
Popis | Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold. (2) The star product does not have to be of Weyl/symmetric or Wick/normal type. (3) The initial geometric structures are allowed to depend on Planck's constant. |
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