English

On the reformulation of Thomas-Fermi model to make it compatible to the Planck-scale

General Physics 2021-07-21 v1 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.2005.07009,
  title  = {On the reformulation of Thomas-Fermi model to make it compatible to the Planck-scale},
  author = {Himangshu Barman and Anisur Rahaman and Sohan Kumar Jha},
  journal= {arXiv preprint arXiv:2005.07009},
  year   = {2021}
}

Comments

9 pages latex, no figure