Correlation in an exactly solvable two-particle quantum system
- 1 August 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 42 (3) , 1178-1183
- https://doi.org/10.1103/physreva.42.1178
Abstract
We have obtained an exact analytical solution for a system of two particles moving under the action of a central harmonic-oscillator potential and the mutual Coulomb interaction augmented by a potential linear in the interparticle coordinate. The expressions for the single-particle density, the exchange-correlation energy quantities, and the correlation functions are thereby derived. Numerical results on the exchange-correlation contributions are presented using plots of various local energy densities as well as the corresponding global energy quantities for varying strengths of the oscillator potential.Keywords
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