Abstract
Abstract For a Coulomb system of particles of charge e , it has previously been shown that the indirect part of the repulsive Coulomb energy (exchange plus correlation energy) has a lower bound of the form – Ce 2/3 ∫ρ( x ) 4/3 dx , where ρ is the single particle charge density. Here we lower the constant C from the 8.52 previously given to 1.68. We also show that the best possible C is greater than 1.23.
Keywords
CoulombElectric potential energyCoulomb's constantPhysicsAtomic physicsCharge (physics)Coulomb barrierUpper and lower boundsConstant (computer programming)Energy (signal processing)Electric potentialParticle (ecology)ChemistryQuantum electrodynamicsQuantum mechanicsElectronVoltage
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Publication Info
- Year
- 1981
- Type
- article
- Volume
- 19
- Issue
- 3
- Pages
- 427-439
- Citations
- 507
- Access
- Closed
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Cite This
Élliott H. Lieb,
Stephen Oxford
(1981).
Improved lower bound on the indirect Coulomb energy.
International Journal of Quantum Chemistry
, 19
(3)
, 427-439.
https://doi.org/10.1002/qua.560190306
Identifiers
- DOI
- 10.1002/qua.560190306