Scaling of variables and the relation between noncommutative parameters in Noncommutative Quantum Mechanics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Revtex4, 4 pages; version to match the published one

Scientific paper

10.1142/S0217732306019840

We consider Noncommutative Quantum Mechanics with phase space noncommutativity. In particular, we show that a scaling of variables leaves the noncommutative algebra invariant, so that only the self-consistent effective parameters of the model are physically relevant. We also discuss the recently proposed relation of direct proportionality between the noncommutative parameters, showing that it has a limited applicability.

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