Equation of motion of the correlated first-order density matrix for the ground-state of the Hookean atom with two electrons

DOI10.1007/s10910-011-9934-0zbMath1309.81349OpenAlexW1999074020MaRDI QIDQ427434

Renato Pucci, Giuseppe G. N. Angilella, Norman H. March

Publication date: 13 June 2012

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-011-9934-0

zbMATH Keywords

equation of motionEuler-Lagrange equationfirst-order density matrix

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Many-body theory; quantum Hall effect (81V70)

Cites Work

• Wave functions and low-order density matrices for a class of two-electron `artificial atoms' embracing Hookean and Moshinsky models
• Many-Body Theory of Molecules, Clusters, and Condensed Phases
• A Simplification of the Hartree-Fock Method
• Quantum Theory of Many-Particle Systems. I. Physical Interpretations by Means of Density Matrices, Natural Spin-Orbitals, and Convergence Problems in the Method of Configurational Interaction

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