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Exact Hamiltonian for an analytic correlated ground-state wave function for He-like ions
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| Abstract |
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| A correlated three-parameter variational ground-state Psi(r(1), r(2), r(12)) proposed by Chandrasekhar for helium-like ions gives a high percentage of the electron correlation energy resulting from the interaction energy e(2)/r(12) and also yields an analytic ground-state electron density rho(r). Here, we extract via Schrodinger equation an exact Hamiltonian for which the Chandrasekhar wave function is the ground-state. Properties of the potential energy function in this Hamiltonian are quantified. Finally, kinetic energy densities are plotted and related to the Laplacian of rho(r). (C) 2008 Elsevier B.V. All rights reserved. | |
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English
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| Source (journal) |
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Physics letters: A. - Amsterdam, 1967, currens |
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Amsterdam : 2008
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0375-9601
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372:22(2008), p. 4053-4056
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000256463900018
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