Tsallis entropy: A comparative study for the 1s2-state of helium atom

Ibraheem Nasser, César Martinez-Flores, Mostafa Zeama, Rubicelia Vargas, Jorge Garza

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


The Tsallis entropies are reported, as a function of the Tsallis index q and the screening parameter μ, in position space, for the ground state of the helium atom. Three different potentials, namely Coulomb, Yukawa, and exponential cosine screened Coulomb potentials and their combinations are used in the calculations. The simple Hylleraas correlated wave function, with a three-parameter, is applied to focus on getting the most characteristic physical features of the electron-electron repulsion results. The values are calculated in one- and two-electron charge densities. Moreover, for a comparative study, the Hartree-Fock approximation, which implements a numerical grid method, is employed. Additionally, the modified Tsallis index, Qq, is proposed and calculated to predict the best value of q in the combined potentials, and it was found that 0.5≤q
Original languageEnglish (US)
Pages (from-to)127136
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
StatePublished - Jan 15 2021
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2022-06-14
Acknowledgements: For computer time, this research used the resources of SHAHEEN supercomputer at King Abdullah University of Science & Technology (KAUST) in Thuwal, and ELFAHD supercomputer at King Fahd University for Petroleum and Minerals (KFUPM) in Dhahran, Saudi Arabia. C.M.-F. and J. G. thank CONACYT for the postdoctoral fellowship and the project FC-2016/2412.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

ASJC Scopus subject areas

  • General Physics and Astronomy


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