Articles dans des revues à comité de lecture
|The Poincare algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states|
|Henkel M., Schott R., Stoimenov S., Unterberger J.|
|Confluentes Mathematici 4 (2012) 1250006|
|DOI : 10.1142/S1793744212500065|
|ArXiv : math-ph/0601028 [PDF]|
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 function for alt_1 as a tool for bosonic quantization.