%0 Journal Article
%T An exact representation isotropic and anisotropic noncommutative phase spaces, and their relations
%A H. Kakuhata
%A M. Nakamura
%J Physics
%D 2014
%I arXiv
%X Noncommutative phase space of an arbitrary dimension is considered. The both of operators coordinates and momenta in noncommutative phase space may be noncommutative. In this paper, we introduce momentum-momentum noncommutativity in addition to coordinate-coordinate noncommutativity. We find an exact form for the linear coordinate transformation which relates a noncommutative phase space to the corresponding ordinary one. As an example, the Hamiltonian of a three-dimensional harmonic oscillator is examined.
%U http://arxiv.org/abs/1403.2171v2