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.
Original language | English (US) |
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Title of host publication | The Stability of Matter |
Subtitle of host publication | From Atoms to Stars: Fourth Edition |
Publisher | Springer Berlin Heidelberg |
Pages | 317-328 |
Number of pages | 12 |
ISBN (Print) | 3540420835, 9783540222125 |
DOIs | |
State | Published - 2005 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy