非对易时空中的莱曼-阿尔法光谱
Lyman-Alpha Spectroscopy in Non-Commutative Space-Time
摘要：
最近，围绕粒子物理学的非对易几何模型在宇宙学和天体物理学中的应用这一主题，出现了一定数量的活动。研究了时空非对易性对氢原子跃迁频率的修正。通过写出非对易库仑势的Dirac方程，用微扰法计算了能级的非对易修正，并与Lamb位移的精度进行了比较，得到了非对易参数的一个界.我们利用这个束缚来研究Lyman-α射线的作用，并通过归纳来考察非对易性对某些天体物理和宇宙学现象的可能影响。
英文摘要：
Recently, there has been a certain amount of activity around the theme of cosmological and astrophysical applications of noncommutative geometry models of particle physics. We study space-time non-commutativity applied to the hydrogen atom and the corrections induced to transitions frequencies. By writing the Dirac equation for noncommutative Coulomb potential, we compute noncommutative corrections of the energy levels using perturbation methods and by comparing to the Lamb shift accuracy we get a bound on the parameter of non-commutativity. We use this bound to study the effects on the Lyman-α ray and by induction look the possible influence of non-commutativity on some astrophysical and cosmological phenomena.
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