Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-05-29
Phys.Rev.D74:045015,2006
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 17 pages, Title changed, minor modifications, 3 new references added, To appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.74.045015
A planar phase space having both position and momentum noncommutativity is defined in a more inclusive setting than that considered elsewhere. The dynamics of a particle in a gravitational quantum well in this space is studied. The use of the WKB approximation and the virial theorem enable analytic discussions on the effect of noncommutativity. Consistent results are obtained following either commutative space or noncommutative space descriptions. Comparison with recent experimental data with cold neutrons at Grenoble imposes an upper bound on the noncommutative parameter. Also, our results are compared with a recent numerical analysis of a similar problem.
Banerjee Rabin
Roy Binayak Dutta
Samanta Saurav
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