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Some model inhomogeneous electron liquid in D dimensions : relation between energy and chemical potential and a spatial generalisation of Kato's nuclear cusp theorem
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| Abstract |
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| After a brief survey on the application of the Thomas-Fermi statistical method to bare Coulomb potential satisfying Laplace equation in D dimensions, which then relates energy and chemical potential, we next focus attention on model atomic ions with merely one and two electrons in D dimensions. In particular, for a bare Coulomb field we use the nodeless radial eigenfunctions given by Herschbach in D dimensions to derive the spatial generalization of Kato's nuclear cusp theorem in D dimensions for D>1. The unbinding of H- as a function of dimensionality D is also briefly referred. |
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English
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Physics and chemistry of liquids. - London | |
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London : 2012
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0031-9104
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50:2(2012), p. 266-270
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000304271100011
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