Monte Carlo optimisation of correlated wave functions for normal two-electron systems |
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Authors: | Sabyasachi Kar Puspajit Mandal |
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Institution: | Department of Mathematics, Visva-Bharati University, Santiniketan 731 235, W. Bengal, India |
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Abstract: | A simple, new type of correlated wave function is proposed for the studies of normal two-electron atomic systems: ψ(r1, r2) = ΣcmΦm(r1, r2) with Φm(r1, r2) = exp−(r1 + r2)]/(br12 + a)m, where , a, b are non-linear variational parameters. A notable feature of this basis function is that only three terms are required within the framework of the Raleigh-Ritz variational principle to obtain fairly accurate energy eigenvalues and satisfactory cusp conditions. The non-linear variational parameters are optimised by using the Monte Carlo technique. |
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Keywords: | PACS: 02 60 Pn 02 70 Lq 03 65 Ge 31 20 Di |
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