TY - JOUR
T1 - Tsallis entropy: A comparative study for the 1s2-state of helium atom
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
UR - http://hdl.handle.net/10754/679011
UR - https://linkinghub.elsevier.com/retrieve/pii/S0375960120310033
UR - http://www.scopus.com/inward/record.url?scp=85099395469&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2020.127136
DO - 10.1016/j.physleta.2020.127136
M3 - Article
SN - 0375-9601
VL - 392
SP - 127136
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
ER -