TY - JOUR

T1 - Many-body atomic potentials in Thomas-Fermi theory

AU - Benguria, Rafael

AU - Lieb, Elliott H.

N1 - Funding Information:
* On leave from the Department of Physics, Universidad de Chile, Santiago, Chile. t Work partially supported by U.S. National Science Foundation grant MCS 75-21684 34

PY - 1978/1

Y1 - 1978/1

N2 - Many-body atomic potentials, ε{lunate}, are functions of the nuclear coordinates, and are defined by differences of ground state energies, E, e.g., ε{lunate}(1, 2) ≡ E(1, 2) - E(1) - E(2). We prove that in Thomas-Fermi theory the n-body potential always has the sign (-1)n for all coordinates. We also prove that the remainder in the expansion of the total energy E in terms of the ε{lunate}'s, when truncated at the n-body terms, has the sign (-1)n+1.

AB - Many-body atomic potentials, ε{lunate}, are functions of the nuclear coordinates, and are defined by differences of ground state energies, E, e.g., ε{lunate}(1, 2) ≡ E(1, 2) - E(1) - E(2). We prove that in Thomas-Fermi theory the n-body potential always has the sign (-1)n for all coordinates. We also prove that the remainder in the expansion of the total energy E in terms of the ε{lunate}'s, when truncated at the n-body terms, has the sign (-1)n+1.

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U2 - 10.1016/0003-4916(78)90140-9

DO - 10.1016/0003-4916(78)90140-9

M3 - Article

AN - SCOPUS:49349120821

SN - 0003-4916

VL - 110

SP - 34

EP - 45

JO - Annals of Physics

JF - Annals of Physics

IS - 1

ER -