Phys. Rev. Lett. 73, 1283–1286 (1994)Is the Local Density Approximation Exact for Short Wavelength Fluctuations?Received 24 February 1994; published in the issue dated 29 August 1994 A commonly cited reason for the success of the local spin density (LSD) approximation is that it correctly accounts for short wavelength contributions to the exchange-correlation energy. We show that this result, while true in several limits and for several approximations to these fluctuations, is not exact in general, with an analytic demonstration on a specific system (Hooke's atom). Nevertheless, we find that LSD is rather accurate for small separations. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.73.1283
DOI:
10.1103/PhysRevLett.73.1283
PACS:
71.45.Gm, 31.20.Sy, 71.10.+x
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