Abstract
Many-body atomic potentials, ε, are functions of the nuclear coordinates, and are defined by differences of ground state energies, E, e.g., ε(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 co-ordinates. We also prove that the remainder in the expansion of the total energy E in terms of the ε’s, when truncated at the n-body terms, has the sign (−1)n+1.
On leave from the Department of Physics, Universidad de Chile, Santiago, Chile.
Work partially supported by U.S. National Science Foundation grant MCS 75-21684 A01.
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References
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© 2005 Springer-Verlag Berlin Heidelberg New York
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Benguria, R., Lieb, E.H. (2005). Many-Body Atomic Potentials in Thomas-Fermi Theory. In: Thirring, W. (eds) The Stability of Matter: From Atoms to Stars. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27056-6_23
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DOI: https://doi.org/10.1007/3-540-27056-6_23
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