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Derivation of the Kelbg potential/functional
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The density matrix for a system of particles interacting via the Coulomb potential is obtained in the high--temperature limit following almost entirely the original work by Kelbg. For this purpose the Bl\"och equation is solved in the first order of perturbation theory. We tried to explain all the transformations in the derivation in order to simplify the understanding of this non-trivial theory. The solution of Kelbg is widely used in path integral simulations of Coulomb systems.
Forward citations
Cited by 2 Pith papers
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Mean Force Emission Theory for Classical Bremsstrahlung in Electron-Ion Plasmas
Mean force emission theory with the attractive Kelbg potential reproduces classical molecular dynamics bremsstrahlung spectra in electron-ion plasmas and links emission to absorption and conductivity.
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Molecular dynamics of nondegenerate hydrogen plasma using improved Kelbg pseudopotential with electron finite-size correction
A per-state-point tuned force correction suppresses artificial electron clusters in Kelbg MD, but energy and composition remain well off PIMC at low temperatures.
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