A correlated three-parameter variational ground-state Ψ (r1, r2, r12) proposed by Chandrasekhar for helium-like ions gives a high percentage of the electron correlation energy resulting from the interaction energy e2 / r12 and also yields an analytic ground-state electron density ρ (r). Here, we extract via Schrödinger equation an exact Hamiltonian for which the Chandrasekhar wave function is the ground-state. Properties of the potential energy function in this Hamiltonian are quantified. Finally, kinetic energy densities are plotted and related to the Laplacian of ρ (r).
|Number of pages||4|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|Publication status||Published - May 26 2008|
- Chandrasekhar wave function
- Exact Hamiltonian
ASJC Scopus subject areas
- Physics and Astronomy(all)