A study of the consistency between noncommutative quantum mechanics and Galilean isotropy

Details A study of the consistency between noncommutative quantum mechanics and Galilean isotropy A study of the consistency between noncommutative quantum mechanics and Galilean isotropy

2000-05-02

arxiv.org/abs/quant-ph/0005017v1

Physics

Quantum Physics

12 pages, no figures

Scientific paper

A demonstration is given that the simplest model of quantum mechanics
formulated on a plane non-commutative geometry endowed with a Galilean symmetry
group in which the position and linear momentum-variable commutators are first
order in the dynamical variables (and thus constitute a true Lie algebra) is
incompatible with the hypothesis of spacial isotropy.

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