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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 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 E2 − E1 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 Sech | Modified Le Sech | |||||
---|---|---|---|---|---|---|
Z | μ | E2 − E1 | μ | E2 − E1 | PRM | AMGB |
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 |