Wave functions and low-order density matrices for a class of two-electron `artificial atoms' embracing Hookean and Moshinsky models

DOI10.1016/S0375-9601(03)00408-0zbMath1098.81856OpenAlexW2024115849MaRDI QIDQ1866782

I. A. Howard, A. Holas, Norman H. March

Publication date: 22 April 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(03)00408-0

zbMATH Keywords

ground-state solutionparticle densitiesexplicit single-particle radial Schrödinger equation

Mathematics Subject Classification ID

Atomic physics (81V45)

Related Items (4)

The central role of the von Weizsäcker kinetic energy density in determining the energy functional of a model two-electron atom with harmonic confinement and inverse square interparticle repulsion ⋮ Weak harmonic confinement of the quintet solution of a Moshinsky atom with 4 electrons ⋮ Finding exact and approximate wave functions of Hooke's atom, their information entropy and correlation ⋮ Equation of motion of the correlated first-order density matrix for the ground-state of the Hookean atom with two electrons

Cites Work

• Unnamed Item
• First-order density matrix as a functional of the ground-state electron density for harmonic confinement of two electrons which also interact harmonically
• The Statistical Interpretation of Quantum Mechanics

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