Delone序列对复平面的非对易读
Non-commutative reading of the complex plane through Delone sequences
摘要：
复平面的Berezin-Klauder-Toeplitz（“反威克”）量子化或“非对易读数”，被看作是粒子在直线上运动的相空间，是从标准（或高斯）相干态提供的单位的分辨率导出的。这些态的结构性质及其吸引性质本质上是基于谐振子的能谱，即自然数。这项工作是一个尝试遵循相同的路径，考虑序列的非负数是不是“太远”的自然数。特别是，我们研究的后果，这种扰动的非交换阅读复杂的平面在其概率，功能和本地化方面。
英文摘要：
The Berezin-Klauder-Toeplitz ("anti-Wick") quantization or "non-commutative reading" of the complex plane, viewed as the phase space of a particle moving on the line, is derived from the resolution of the unity provided by the standard (or gaussian) coherent states. The construction properties of these states and their attractive properties are essentially based on the energy spectrum of the harmonic oscillator, that is on the natural numbers. This work is an attempt for following the same path by considering sequences of non-negative numbers which are not "too far" from the natural numbers. In particular, we examine the consequences of such perturbations on the non-commutative reading of the complex plane in terms of its probabilistic, functional, and localization aspects.
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。
