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

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

doi:10.1016/j.physleta.2020.127136

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

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

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Abstract

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 language	English (US)
Pages (from-to)	127136
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	392
DOIs	https://doi.org/10.1016/j.physleta.2020.127136
State	Published - Jan 15 2021
Externally published	Yes

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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title = "Tsallis entropy: A comparative study for the 1s2-state of helium atom",

abstract = "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",

author = "Ibraheem Nasser and C{\'e}sar Martinez-Flores and Mostafa Zeama and Rubicelia Vargas and Jorge Garza",

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.",

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doi = "10.1016/j.physleta.2020.127136",

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AU - Nasser, Ibraheem

AU - Martinez-Flores, César

AU - Zeama, Mostafa

AU - Vargas, Rubicelia

AU - Garza, Jorge

N1 - 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.

PY - 2021/1/15

Y1 - 2021/1/15

N2 - 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

AB - 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

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

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