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When dealing with the classical limit of two quantum mechanical oscillatorson a noncommutative configuration space, the limits corresponding to theremoval of configuration-space noncommutativity and position-momentumnoncommutativity do not commute. We address this behaviour from the point ofview of the phase-space localisation properties of the Wigner functions ofcoherent states under the two limits.

Semi-Classical Localisation Properties of Quantum Oscillators on a Noncommutative Configuration Space