关于与Planck尺度相容的M-Fermi模型的改进
On the reformulation of Thomas-Fermi model to make it compatible to the Planck-scale
摘要:
本文考虑了一种广义的不确定关系,使之能有效地捕捉普朗克尺度效应。这里的推广包含线性和二次项的动量。首先,我们重新制定的非相对论性的情况下的E-F模型。它已被证明,它也可以重新制定考虑到相对论效应。研究了非相对论情形的辩证屏蔽,明确地给出了屏蔽长度的表达式。
英文摘要:
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.
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