AIP conference proceedings

Non uniqueness and equivalence of the q-deformed Weyl-Heisenberg algebra representations

Noureddine Boucerredj, N. Mebarki

Published Jan 1, 2012• 0 citations

Abstract

The non uniqueness and equivalence of the q-deformed Weyl-Heinsenberg algebra are studied in the weak deformation parameter approximation. It turns out that the Macfarlane representation is not unique leading to inequivalant solutions of the q-deformed coherent states. Moreover, it is shown that the Krolikowski representation gives also a completely different result for the same algebra.

DOI: 10.1063/1.4715442

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