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

O. Bertolami·J. G. Rosa·C. M. L. de Aragão·P. Castorina·D. Zappalà
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Abstract

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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O. Bertolami, J. G. Rosa, C. M. L. de Aragão, P. Castorina, D. Zappalà. 2006-04-04. Scaling of variables and the relation between noncommutative parameters in Noncommutative Quantum Mechanics. https://doi.org/10.1142/s0217732306019840

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