Tuesday, April 30, 2013

1304.7293 (Carles Batlle et al.)

Symmetries of the free Schrodinger equation in the non-commutative plane    [PDF]

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.
View original: http://arxiv.org/abs/1304.7293

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