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.

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

References in corpus (7)

• Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law
• Formulation, Interpretation and Application of non-Commutative Quantum Mechanics
• Spectrum of the non-commutative spherical well
• Path integral action of a particle in the non commutative plane
• Noncommutative quantum mechanics -- a perspective on structure and spatial extent
• A unifying perspective on the Moyal and Voros products and their physical meanings
• Voros product and the Pauli principle at low energies