老化系统背景下的庞加莱代数：李结构、表象、Appell系统和相干态
The Poincare algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states
摘要：
通过引入狭义相对论的Poincare代数alt_1的一种非传统的共形变换实现，说明了它如何作为非平衡统计物理中老化系统的动力学对称代数出现，并给出了它的一些应用，如计算二次量子数.我们还讨论了在此设置中的alt_1的无限维扩展。最后，我们构造了alt_1的正则Appell系统、相干态和Leibniz函数作为玻色量子化的工具。
英文摘要：
By introducing an unconventional realization of the Poincare algebra alt_1 of special relativity as conformal transformations, we show how it may occur as a dynamical symmetry algebra for ageing systems in non-equilibrium statistical physics and give some applications, such as the computation of two-time correlators. We also discuss infinite-dimensional extensions of alt_1 in this setting. Finally, we construct canonical Appell systems, coherent states and Leibniz functions for alt_1 as a tool for bosonic quantization.
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