2020/05/13 by Himangshu Barman, Anisur Rahaman, Sohan Kumar Jha · 9 citations
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebra over a field #Dialectic #Fermi Gamma-ray Space Telescope #Generalization #Noncommutative and Quantum Gravity Theories #Quadratic equation #Quantum Mechanics and Applications #Relativistic particle #hep-th #physics.gen-ph
paper · pdf · doi:10.1142/s0217732321501303
published in Modern Physics Letters A 36(19), 2150130 (World Scientific) · 9 pages latex, no figure
arxiv created 2020/05/13 · openalex created_date 2020/05/21 · openalex publication_date 2021/06/18 · arxiv updated 2021/07/21 · openalex updated_date 2026/08/05
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. We have shown that it can also be reformulated for taking into account the relativistic effect. We study the dialectic screening for both the non-relativistic and relativistic cases and find out the Fermi length for both the cases explicitly.