论文标题
空间的物种
Species of spaces
论文作者
论文摘要
量子系统的经典限制显示出与空间的不同概念不同的概念，不同于经典的量子，从而量化了此类系统的量化过程。重音是在非交易性痕迹的情况下，当普朗克常数消失在非交通性几何形状的框架内时，量子机械的象征特征的见证。考虑了复杂的规范转换，自旋统计，拓扑量子场理论，长时间的半经典近似和基本混沌动力学，以及对经典不可预测性与量子不确定性的比较/融合。
Classical limits of quantum systems are shown to lead to different conceptions of spaces different from the classical one underlying the process of quantization of such systems. The accent is put in situations where traces of noncommutativity, witness of an emblematic feature of quantum mechanise remains when the Planck constant vanishes, in the framework of noncommutative geometry. Complex canonical transformations, spin-statistics, topological quantum fields theory, long time semiclassical approximation and underlying chaotic dynamics are considered, together with a comparison/fusion of classical unpredictability with quantum indeterminism.
