A generalized Poisson equation and short-range self-interaction energies | Zendy

Sergey A. Varganov | Zendy; Andrew T. B. Gilbert | Zendy; Peter M. W. Gill | Zendy

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A generalized Poisson equation and short-range self-interaction energies

Author(s) -

Sergey A. Varganov,

Andrew T. B. Gilbert,

Peter M. W. Gill

Publication year - 2008

Publication title -

the journal of chemical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.071

H-Index - 357

eISSN - 1089-7690

pISSN - 0021-9606

DOI - 10.1063/1.2945298

Subject(s) - poisson's equation , range (aeronautics) , discrete poisson equation , poisson distribution , attenuation , exponential function , physics , statistical physics , energy (signal processing) , mathematics , mathematical analysis , laplace's equation , classical mechanics , quantum mechanics , partial differential equation , statistics , materials science , composite material

We generalize the Poisson equation to attenuated Newtonian potentials. If the attenuation is at least exponential, the equation provides a local mapping between the density and its potential. We use this to derive several density functionals for the short-range self-interaction energy.

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