Carles Batlle, Joaquim Gomis, Kiyoshi Kamimura
We study the symmetries of the free Schrodinger equation in the non-commutative plane. These symmetry transformations form an infinite dimensional Weyl algebra that appears naturally from a two dimensional Heisenberg algebra generated by boosts and momenta. A finite dimensional subalgebra is the Schrodinger algebra which apart from the Galilei generators has dilatation and expansion. We consider the quantizations in both the reduced and extended phase spaces.
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http://arxiv.org/abs/1304.7293
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