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Title:	Symmetries of the free Schrödinger equation in the non-commutative plane
Author:	Batlle, C.; Gomis Torné, Joaquim; Kamimura, Kiyoshi
Other authors:	Universitat de Barcelona
Abstract:	We study all the symmetries of the free Schr odinger equation in the non-commu- tative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg algebra generated by Galilean boosts and momenta. These infinite high symmetries could be useful for constructing non-relativistic interacting higher spin theories. A finite-dimensional subalgebra is given by the Schröodinger algebra which, besides the Galilei generators, contains also the dilatation and the expansion. We consider the quantization of the symmetry generators in both the reduced and extended phase spaces, and discuss the relation between both approaches.
Publication date:	2014-05-23
Subject(s):	-Equació de Schrödinger -Spin (Física nuclear) -Teoria quàntica -Schrödinger equation -Nuclear spin -Quantum theory
Rights:	cc-by-nc-sa (c) Batlle, C. et al., 2014 http://creativecommons.org/licenses/by-nc-sa/3.0/es
Document type:	Article Article - Published version
Published by:	Institute of Mathematics of the National Academy of Sciences of Ukraine
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