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s-Wave component of the ground-state electron density in the Hookean model compared with the helium atom
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| Abstract |
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| From the exact ground-state wave function of the two-electron Hookean atom, in which the Coulombic repulsion energy e(2)/r(12) between electrons 1 and 2 at separation r(12) is retained but the confinement is harmonic with external potential kr(2)/2, the s-wave component is extracted for force constant k = 1/4. The radial electron density for this l = 0 component is compared with that for the exact ground-state density, and they are quantitatively very similar. Finally, a linear differential equation is found for the s-wave density and this equation is compared and contrasted with the known result for the exact case. (c) 2005 Elsevier B.V. All rights reserved. | |
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English
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| Source (journal) |
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Chemical physics letters. - Amsterdam |
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Amsterdam : 2005
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0009-2614
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413:1-3(2005), p. 168-170
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| ISI |
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000231929400031
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