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hep-th2010★ 3 cited
On the noncommutative eikonal
J. M. Isidro, P. Fernandez de Cordoba, J. M. Rivera-Rebolledo +1
We study the eikonal approximation to quantum mechanics on the Moyal plane. Instead of using a star product, the analysis is carried out in terms of operator-valued wavefunctions d…
hep-th2010★ 2 cited
Remarks on the representation theory of the Moyal plane
J. M. Isidro, P. Fernandez de Cordoba, J. M. Rivera-Rebolledo +1
We present an explicit construction of a unitary representation of the commutator algebra satisfied by position and momentum operators on the Moyal plane.