THE POINCARÉ ALGEBRA IN THE CONTEXT OF AGEING SYSTEMS: LIE STRUCTURE, REPRESENTATIONS, APPELL SYSTEMS AND COHERENT STATES

Q4 Mathematics

Confluentes Mathematici Pub Date : 2006-01-12 DOI:10.1142/S1793744212500065

M. Henkel, R. Schott, S. Stoimenov, J. Unterberger

引用次数: 40

Abstract

By introducing an unconventional realization of the Poincare algebra 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 in this setting. Finally, we construct canonical Appell systems, coherent states and Leibniz function for as a tool for bosonic quantization.

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老化系统背景下的poincarÉ代数:谎言结构，表示，上诉系统和连贯状态

通过引入狭义相对论庞加莱代数作为保形变换的一种非常规实现，我们展示了它如何作为非平衡统计物理中老化系统的动态对称代数发生，并给出了一些应用，例如计算两时间相关器。在这种情况下，我们还讨论了的无限维扩展。最后，我们构造了典型阿佩尔系统、相干态和莱布尼兹函数作为玻色子量子化的工具。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Confluentes Mathematici Mathematics-Mathematics (miscellaneous)

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Confluentes Mathematici is a mathematical research journal. Since its creation in 2009 by the Institut Camille Jordan UMR 5208 and the Unité de Mathématiques Pures et Appliquées UMR 5669 of the Université de Lyon, it reflects the wish of the mathematical community of Lyon—Saint-Étienne to participate in the new forms of scientific edittion. The journal is electronic only, fully open acces and without author charges. The journal aims to publish high quality mathematical research articles in English, French or German. All domains of Mathematics (pure and applied) and Mathematical Physics will be considered, as well as the History of Mathematics. Confluentes Mathematici also publishes survey articles. Authors are asked to pay particular attention to the expository style of their article, in order to be understood by all the communities concerned.