Abstract
An exposition of the different definitions and approaches to quantum statistics is given, with emphasis in one-dimensional situations. Permutation statistics, scattering statistics and exclusion statistics are analyzed. The Calogero model, matrix model and spin chain models constitute specific realizations.
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Polychronakos, A.P. (1999). Generalized Statistics in One Dimension. In: Comtet, A., Jolicœur, T., Ouvry, S., David, F. (eds) Aspects topologiques de la physique en basse dimension. Topological aspects of low dimensional systems. Les Houches - Ecole d’Ete de Physique Theorique, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46637-1_5
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DOI: https://doi.org/10.1007/3-540-46637-1_5
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