Zhao, YanLoos, Pierre-FrancoisGill, Peter2015-12-101050-2947http://hdl.handle.net/1885/62461We study the D-dimensional high-density correlation energy Ec of the singlet ground state of two electrons confined by a harmonic potential with Coulombic repulsion. We allow the harmonic potential to be anisotropic and examine the behavior of Ec as a function of the anisotropy α-1. In particular, we are interested in the limit where the anisotropy goes to infinity (α→0) and the electrons are restricted to a lower-dimensional space. We show that tuning the value of α from 0 to 1 allows a smooth dimensional interpolation and we demonstrate that the usual model, in which a quantum dot is treated as a two-dimensional system, is inappropriate. Finally, we provide a simple function which reproduces the behavior of Ec over the entire range of α.Author/s retain copyrightKeywords: Correlation energy; Coulombic repulsion; Harmonic potential; High-density; Singlet ground state; Two-dimensional systems; Harmonic functions; Quantum theory; Semiconductor quantum dots; Anisotropy201110.1103/PhysRevA.84.0325132016-02-24