By introducing an unconventional realization of the Poincaré 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.
Malte Henkel 1 ; René Schott 1 ; Stoimen Stoimenov 1 ; Jérémie Unterberger 1
@article{CML_2012__4_4_A2_0,
author = {Malte Henkel and Ren\'e Schott and Stoimen Stoimenov and J\'er\'emie Unterberger},
title = {The {Poincar\'e} algebra in the context of ageing systems: {Lie} structure, representations, {Appell} systems and coherent states},
journal = {Confluentes Mathematici},
publisher = {World Scientific Publishing Co Pte Ltd},
volume = {4},
number = {4},
year = {2012},
doi = {10.1142/S1793744212500065},
language = {en},
url = {https://cml.centre-mersenne.org/articles/10.1142/S1793744212500065/}
}
TY - JOUR AU - Malte Henkel AU - René Schott AU - Stoimen Stoimenov AU - Jérémie Unterberger TI - The Poincaré algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states JO - Confluentes Mathematici PY - 2012 VL - 4 IS - 4 PB - World Scientific Publishing Co Pte Ltd UR - https://cml.centre-mersenne.org/articles/10.1142/S1793744212500065/ DO - 10.1142/S1793744212500065 LA - en ID - CML_2012__4_4_A2_0 ER -
%0 Journal Article %A Malte Henkel %A René Schott %A Stoimen Stoimenov %A Jérémie Unterberger %T The Poincaré algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states %J Confluentes Mathematici %D 2012 %V 4 %N 4 %I World Scientific Publishing Co Pte Ltd %U https://cml.centre-mersenne.org/articles/10.1142/S1793744212500065/ %R 10.1142/S1793744212500065 %G en %F CML_2012__4_4_A2_0
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, Tome 4 (2012) no. 4. doi : 10.1142/S1793744212500065. https://cml.centre-mersenne.org/articles/10.1142/S1793744212500065/
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