منابع مشابه
Remarks on the Noncommutative Gravitational Quantum Well
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 c...
متن کاملTwo Dimensional Noncommutativity and Gravitational Quantum Well
Nesvizhevsky et al.[1] performed an experiment to study the problem of gravitational quantum well. The “well” in which a quantum particle (neutron was used in the experiment) bounces back and forth, was formed by placing a horizontal reflecting mirror in the Earth’s gravitational field. The experimental results were in reasonable agreement with the theoretical results. So if there is any noncom...
متن کاملComments on Noncommutative Gravitational Quantum Well
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 c...
متن کاملTime-Space Noncommutativity in Gravitational Quantum Well scenario
A novel approach to the analysis of the gravitational well problem from a second quantised description has been discussed. The second quantised formalism enables us to study the effect of time space noncommutativity in the gravitational well scenario which is hitherto unavailable in the literature. The corresponding first quantized theory reveals a leading order perturbation term of noncommutat...
متن کاملMinimal length uncertainty relation and gravitational quantum well
The dynamics of a particle in a gravitational quantum well is studied in the context of nonrelativistic quantum mechanics with a particular deformation of a two-dimensional Heisenberg algebra. This deformation yields a new short-distance structure characterized by a finite minimal uncertainty in position measurements, a feature it shares with noncommutative theories. We show that an analytical ...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2006
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/33/1/011