论文标题
关于Thomas-Fermi模型的重新制定,使其与Planck级兼容
On the reformulation of Thomas-Fermi model to make it compatible to the Planck-scale
论文作者
论文摘要
托马斯 - 费尔米(Thomas-Fermi)模型在这里被认为是通过使用不确定性关系的概括来捕获普朗克规模的效应。这里的概括包含动量的线性和二次术语。我们首先针对非权利主义案例重新制定了托马斯 - 费尔米模型。已经表明,考虑到相对论效应,也可以重新校正。已经研究了对非相关案例的辩证筛查,并明确发现了筛选长度的表达。
Thomas-Fermi model is considered here to make it cogent to capture the Planck-scale effect with the use of a generalization of uncertainty relation. Here generalization contains both linear and quadratic terms of momentum. We first reformulate the Thomas-Fermi model for the non-relativistic case. It has been shown that it can also be reformulated for taking into account the relativistic effect. Dialectic screening for the non-relativistic cases has been studied and the expression of screening length has been found out explicitly.