On the Thomas-Fermi model at the Planck scale
Abstract
Many quantum gravity theories predict a minimal length of the order of the Planck length. In this letter, the Thomas-Fermi model is reformulated by taking into account such a prescription. A generalized Thomas-Fermi equation is derived, that reduces to the usual one in the absence of a minimal length. As an application, the model is used to study the dielectric screening process. Estimations of the Fermi length are given for star interior.
- Publication:
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Physics Letters A
- Pub Date:
- March 2019
- DOI:
- 10.1016/j.physleta.2019.01.019
- Bibcode:
- 2019PhLA..383.1105S
- Keywords:
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- Thomas-Fermi model;
- Generalized uncertainty principle;
- Minimal length uncertainty;
- Screening process