Noncommutative gravitational quantum well
نویسندگان
چکیده
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 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...
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In two-dimensional noncommutive space for the case of both position-position and momentum-momentum noncommuting, the constraint between noncommutative parameters on the quantum gravitational well is investigated. The related topic of guaranteeing Bose-Einstein statistics in the general case are elucidated: BoseEinstein statistics is guaranteed by the deformed Heisenberg-Weyl algebra itself, ind...
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In the context of non-relativistic quantum mechanics for the case of both position position and momentum momentum noncommuting, the constraint between noncommutative parameters on the quantum gravitational well is investigated. The related topic of guaranteeing Bose Einstein statistics in the general case are elucidated: Bose Einstein statistics is guaranteed by the deformed Heisenberg Weyl alg...
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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...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2005
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.72.025010