A New Limit for the Non-Commutative Space-Time Parameter
arXiv:0907.1904 · doi:10.1016/j.geomphys.2010.09.010
Abstract
We study space-time noncommutativity applied to the hydrogen atom and the phenomenological aspects induced. We find that the noncommutative effects are similar to those obtained by considering the extended charged nature of the proton in the atom. To the first order in the noncommutative parameter, it is equivalent to an electron in the fields of a Coulomb potential and an electric dipole and this allows us to get a bound for the parameter. In a second step, we compute noncommutative corrections of the energy levels and find that they are at the second order in the parameter of noncommutativity. By comparing our results to those obtained from experimental spectroscopy, we get another limit for the parameter.
10 pages; no figures or tables
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- Noncommutative phase space with rotational symmetry and hydrogen atom
- Quantum effects of Aharonov-Bohm type and noncommutative quantum mechanics
- Perturbation of the ns energy levels of the hydrogen atom in rotationally invariant noncommutative space
- Schrodinger Equation for Non-Pure Dipole Potential in 2D Systems
- Quasinormal modes of noncommutative geometry-inspired dirty black holes
- Exact Solutions for a Quantum Ring with a Dipolar Impurity
- Elastic scattering of electron by a Yukawa potential in non-commutative spacetime
- Spherically symmetric potential in noncommutative spacetime with a compactified extra dimensions