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Abstract: I discuss Haldane-s concept of generalised exclusion statistics Phys. Rev.Lett. {\bf 67}, 937, 1991 and I show that it leads to inconsistencies in thecalculation of the particle distribution that maximizes the partition function.These inconsistencies appear when mutual exclusion statistics is manifestedbetween different subspecies of particles in the system. In order to eliminatethese inconsistencies, I introduce new mutual exclusion statistics parameters,which are proportional to the dimension of the Hilbert sub-space on which theyact. These new definitions lead to properly defined particle distributions andthermodynamic properties. In another paper arXiv:0710.0728 I show thatfractional exclusion statistics manifested in general systems with interactionhave these, physically consistent, statistics parameters.



Author: Dragoş-Victor Anghel

Source: https://arxiv.org/







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