Statistical interparticle potential on noncommutative space

Abstract

We compute the statistical potential between two particles in the coherent state formalism on the deformed configuration space. The result obtained by using the coherent states having a further degree of freedom (proposed in \cite{rohwer}) is compatible with Pauli's exclusion principle reassuring the fact that noncommutative quantum mechanics may in some way encode the notion of physical extent and structure.

Comments: 8 pages Latex, To appear in Euro.Physics.Letters