Phys. Rev. A 56, 1025–1026 (1997)Nonlocal functional derivative of kinetic energy for the self-consistent Thomas-Fermi atomReceived 2 December 1996; published in the issue dated July 1997 It is well known in the Thomas-Fermi (TF) theory that the functional derivative δT/δn(r), with T the kinetic energy and n(r) the ground-state electron density, is proportional to n2/3(r). But the differential equation satisfied by the TF self-consistent density for atoms is shown here to express n1/3(r) as a linear combination of ∇2n/n and (∇n/n)2. Hence a nonlocal form for δT/δn(r) follows, solely in terms of these two variables. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.56.1025
DOI:
10.1103/PhysRevA.56.1025
PACS:
31.15.Bs
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