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Corrigendum: Semianalytical wavefunctions and Kohn–Sham exchange–correlation potentials for two-electron atomic systems in two-dimensions (2020 J. Phys. B: At. Mol. Opt. Phys. 53 035001)

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Published 24 February 2021 © 2021 IOP Publishing Ltd
, , Citation Rabeet Singh et al 2021 J. Phys. B: At. Mol. Opt. Phys. 54 049501 DOI 10.1088/1361-6455/abd60f

0953-4075/54/4/049501

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Recently, we proposed accurate forms of the wavefunction for two-electron atomic systems in two-dimensions and calculated the exchange–correlation potentials for these systems using the Levy–Perdew–Sahni (LPS) equation. As a part of this work, we reported the results for the chemical potentials (μ) calculated by solving the LPS equation

directly. For this, we construct the effective potential ${v}_{\text{eff}}^{\text{LPS}}\left( \overrightarrow {r\hspace{2pt}}\right)$ for Le Sech and modified Le Sech wavefunction, and then solve the LPS equation to get the chemical potential and density (ρ). The values so obtained for μ for the modified Le Sech wavefunctions given in table 7 of this paper are not correct. In this erratum, we correct these and give table 7 of the paper mentioned above with updated values of μ for the modified Le Sech wavefunctions.

Table 7. Chemical potential μ calculated using equation (13) of the above mentioned paper, the difference E2E1 with E1 = −2Z2, and the highest occupied orbital eigenvalues in Kohn–Sham equation using AMGB and PRM correlation functionals with LDA exchange functional for Coulomb external potential.

 Le SechModified Le Sech  
Z μ E2E1 μ E2E1 PRMAMGB
1−0.2371−0.2338−0.2377−0.2359−0.0370−0.0525
2−3.9091−3.8880−3.9104−3.8924−3.1641−3.2038
3−11.5698−11.5350−11.5709−11.5399−10.2891−10.3382
4−23.2264−23.1784−23.2267−23.1836−21.4130−21.4674
5−38.8809−38.8198−38.8803−38.8253−36.5365−36.5943
6−58.5338−58.4598−58.5323−58.4655−55.6597−55.7199
7−82.1858−82.0985−82.1831−82.1044−78.7826−78.8446
8−109.8368−109.7361−109.8326−109.7423−105.9053−105.9687
9−141.4869−141.3727−141.4812−141.3792−137.0277−137.0923
10−177.1362−177.0081−177.1288−177.0151−172.1500−172.2155
10.1088/1361-6455/abd60f