Statistical interparticle potential on noncommutative space
Sunandan Gangopadhyay, Ram Narayan Deb, Frederik. G. Scholtz
TL;DR
This paper calculates the statistical potential between particles in a noncommutative space using coherent states, showing compatibility with Pauli's exclusion principle and suggesting noncommutative quantum mechanics encodes physical structure.
Contribution
It introduces a method to compute statistical potentials in noncommutative spaces using an extended coherent state formalism.
Findings
The statistical potential aligns with Pauli's exclusion principle.
Noncommutative quantum mechanics may encode physical extent and structure.
The approach confirms the compatibility of noncommutative space formalism with fundamental quantum principles.
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.
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