*-Products on Quantum Spaces

TL;DR

This paper provides explicit formulas for *-products on key quantum spaces like q-deformed Minkowski and Euclidean spaces, including power series expansions in the deformation parameter q, aiding their application in physics.

Contribution

It offers complete, explicit formulas for *-products on important quantum spaces, with expansions in powers of the deformation parameter q.

Findings

Formulas for *-products on q-deformed Minkowski and Euclidean spaces.

Expansion in powers of h=lnq up to second order.

Applicable to physics models involving quantum space deformations.

Abstract

In this paper we present explicit formulas for the *-product on quantum spaces which are of particular importance in physics, i.e., the q-deformed Minkowski space and the q-deformed Euclidean space in 3 and 4 dimensions, respectively. Our formulas are complete and formulated using the deformation parameter q. In addition, we worked out an expansion in powers of h=lnq up to second order, for all considered cases.