Galilean symmetry in noncommutative Gravitational Quantum Well
arXiv:0803.3957 · doi:10.1103/PhysRevD.81.125002
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.
9 pages, Revtex, Section I and IV rewritten, Accepted for publication in Phys. Rev. D
References in corpus (22)
- A Gravity Theory on Noncommutative Spaces
- Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
- Noncommutative Inspired Black Holes in Extra Dimensions
- Comments on noncommutative gravity
- Noncommutative Gravity
- Second Order Noncommutative Corrections to Gravity
- A note on the noncommutative correction to gravity
- Noncommutative Point Sources
- Probing the Noncommutative Standard Model at Hadron Colliders
- Remarks on the Noncommutative Gravitational Quantum Well
- Deformed Reissner--Nordstrom solutions in noncommutative gravity
- Vacuum Birefringence as a Probe of Planck Scale Noncommutativity
- Seiberg-Witten-type Maps for Currents and Energy-Momentum Tensors in Noncommutative Gauge Theories
- Time-Space Noncommutativity in Gravitational Quantum Well scenario
- Unusual High-Energy Phenomenology of Lorentz-Invariant Noncommutative Field Theories
- Semi-Leptonic Decay of a Polarized Top Quark in the Noncommutative Standard Model
- Schwinger Model In Noncommutating Space-Time
- Gauge Generators, Transformations and Identities on a Noncommutative Space
- On the question of deconfinement in noncommutative Schwinger Model
- Gravitational Quantum Well
- On the question of regular solitons in a Noncommutative Maxwell--Chern--Simons--Higgs model
- Photon Defects in Noncommutative Standard Model Candidates
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