2021
DOI: 10.1142/s0217732321501303
|View full text |Cite
|
Sign up to set email alerts
|

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

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. 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 b… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
5
0

Year Published

2022
2022
2024
2024

Publication Types

Select...
5
3

Relationship

4
4

Authors

Journals

citations
Cited by 12 publications
(5 citation statements)
references
References 48 publications
0
5
0
Order By: Relevance
“…Although these GUPs are of different origins, so far as constructions of these are concerned, the main service these GUPs render is common: providing quantum gravity correction to the physical system. A few recent works with LQG and QG are [76][77][78][79][80]. Some notable works on the subject of thermal analysis of the black holes with GUP are [81][82][83][84][85][86].…”
Section: Jcap05(2024)019mentioning
confidence: 99%
“…Although these GUPs are of different origins, so far as constructions of these are concerned, the main service these GUPs render is common: providing quantum gravity correction to the physical system. A few recent works with LQG and QG are [76][77][78][79][80]. Some notable works on the subject of thermal analysis of the black holes with GUP are [81][82][83][84][85][86].…”
Section: Jcap05(2024)019mentioning
confidence: 99%
“…Although, other models which are associated with the GUP which corresponds to the idea of minimum measurable length and maximum measurable momentum length simultaneously. This type of problem is amenable to have a solution for all types of available generalization od uncertainty relation [36][37][38][39][40][41][42][43][44][45][46]. We will consider only consider generalization associated with the existence of a minimal length.…”
Section: Schwarzschild Metric Endowed With Quantum Gravity Correctionmentioning
confidence: 99%
“…In this article we are intended to study the accretion phenomena onto a spherically symmetric Schwarzschild black hole employing a modified uncertainty relation that admits a quantum gravity correction that finds its place holding the hand of the concept of minimal measurable length. There are other models which are associated with the GUP correspond to the concept of minimum measurable length and maximum observable momentum simultaneously and it is a fascinating problem which is amenable for application for all kinds of available generalization of uncertainty relation [31][32][33][34][35][36][37][38][39][40][41]. We will only consider the generalization related to the existence of a minimal length.…”
Section: Description Of the Geodesic In The Gup Inspired Quantum Corr...mentioning
confidence: 99%
“…Making use of the condition of having circular orbit ṙ = 0 in Eqn. (34) we can have the expression of the specific energy (energy per unit mass) K, and substituting the expression for Ā the specific energy K can be expressed as…”
Section: A Condition Of Circular Orbits Of the Massive Particlesmentioning
confidence: 99%