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arXiv quant-ph/0610222quant-phgr-qcmath-phmath.MP
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模糊de Sitter时空相干态量子化

Fuzzy de Sitter space-times via coherent states quantization

Jean-Pierre Gazeau, Jihad Mourad, Julien Queva

摘要:

利用矢量相干态量子化方法构造了二维和四维模糊de Sitter双曲面。基于deSitter群SO0(1,2)和SO0(1,4)的极大紧子群SO(2)和SO(4)的Casimir算子谱,我们得到了dS“时间”轴的自然离散化.研究了无限自旋下的连续极限。

英文摘要:

A construction of the 2d and 4d fuzzy de Sitter hyperboloids is carried out by using a (vector) coherent state quantization. We get a natural discretization of the dS "time" axis based on the spectrum of Casimir operators of the respective maximal compact subgroups SO(2) and SO(4) of the de Sitter groups SO\_0(1,2) and SO\_0(1,4). The continuous limit at infinite spins is examined.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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