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Thinking outside the box: The uniform electron gas on a hypersphere
1. G. F. Giuliani and G. Vignale, Quantum Theory of Electron Liquid (Cambridge University Press, Cambridge, England, 2005).
2. R. G. Parr and W. Yang, Density Functional Theory for Atoms and Molecules (Oxford University Press, New York, 1989).
7. W. Macke, Z. Naturforsch. A 5a, 192 (1950).
34. J. Avery, Hyperspherical Harmonics: Applications in Quantum Theory (Kluwer Academic, Dordrecht, 1989).
36. NIST Handbook of Mathematical Functions edited by F. W. J. Olver, D. W. Lozier, R. F. Boisvert, and C. W. Clark (Cambridge University Press, New York, 2010).
37.In our model, the electrons interact “through” the sphere. Thus, r12 is the length of the line, not the arc, connecting the electrons.
47.There exists some disagreement in the literature over the value of ε0, J(3). See Ref. 52 for more details.
51. P. M. W. Gill and P. F. Loos, “Uniform electron gases,” Theor. Chem. Acc. (in press).
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