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arXiv 0907.1904hep-phhep-th
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非对易时空参数的一个新极限

A New Limit for the Non-Commutative Space-Time Parameter

Mustafa Moumni, Achour BenSlama, Slimane Zaim

摘要:

我们研究了时空非对易性在氢原子中的应用及其引起的唯象问题。我们发现非对易效应与考虑原子中质子的扩展带电性质所得到的结果相似。对于非对易参数的一阶,它等价于库仑势场和电偶极子场中的电子,这使我们能够得到参数的界。在第二步中,我们计算了能级的非对易修正,并发现它们在非对易性参数中处于第二阶。通过比较我们的结果从实验光谱,我们得到了另一个限制的参数。

英文摘要:

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.

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