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The Poincare algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states

Malte Henkel·Rene Schott·Stoimen Stoimenov·Jeremie Unterberger
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Abstract

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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Malte Henkel, Rene Schott, Stoimen Stoimenov, Jeremie Unterberger. 2012-12-13. The Poincare algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states. https://doi.org/10.1142/s1793744212500065

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