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arXiv · 0803.3957

Galilean symmetry in noncommutative Gravitational Quantum Well

Anirban Saha
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Abstract

A thorough analysis of Galilean symmetries for the gravitational well problem on a noncommutative plane is presented. A complete closure of the one-parameter centrally extended Galilean algebra is realised for the model. This implies that the field theoretic model constructed to describe noncommutative gravitational quantum well in \cite{ani} is indeed independent of the coordinate choice. Hence the energy spectrum predicted by the model can be associated with the experimental results to establish the upper-bound on time-space noncommutative parameter. Interestingly, noncommutativity is shown to increase the gravitational pull on the neutron trapped in the gravitational well.

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Anirban Saha. 2010-05-25. Galilean symmetry in noncommutative Gravitational Quantum Well. https://doi.org/10.1103/physrevd.81.125002

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