The Poincaré algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states
Confluentes Mathematici, Volume 4 (2012) no. 4.

By introducing an unconventional realization of the Poincaré algebra alt1 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 alt1 of in this setting. Finally, we construct canonical Appell systems, coherent states and Leibniz function for alt1 as a tool for bosonic quantization.

Published online:
DOI: 10.1142/S1793744212500065
Malte Henkel 1; René Schott 1; Stoimen Stoimenov 1; Jérémie Unterberger 1

1
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Malte Henkel; René Schott; Stoimen Stoimenov; Jérémie Unterberger. The Poincaré algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states. Confluentes Mathematici, Volume 4 (2012) no. 4. doi : 10.1142/S1793744212500065. https://cml.centre-mersenne.org/articles/10.1142/S1793744212500065/

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