论文标题
非公共杨模型及其概括
Noncommutative Yang model and its generalizations
论文作者
论文摘要
很久以前，C.N。杨提出了一个非交通时空模型，将Snyder模型推广到弯曲的背景。在本文中，我们回顾了他的提议和多年来所建议的概括。特别是，我们讨论了最通用的代数，这些代数既是de Sitter and Snyder代数，也可以保留Lorentz不变性，并通过规范Heisenberg代数的两参数变形而产生。我们还定义了它们在量子相空间上的实现，从而为变形参数的扰动扩展提供了明确的示例。
Long time ago, C.N. Yang proposed a model of noncommutative spacetime that generalized the Snyder model to a curved background. In this paper we review his proposal and the generalizations that have been suggested during the years. In particular, we discuss the most general algebras that contain as subalgebras both de Sitter and Snyder algebras, preserving Lorentz invariance, and are generated by a two-parameter deformation of the canonical Heisenberg algebra. We also define their realizations on quantum phase space, giving explicit examples, both exact and in terms of a perturbative expansion in the deformation parameters.
