Combining the \(G\)-particle-hole hypervirial equation and the Hermitian operator method to study electronic excitations and de-excitations

DOI10.1007/s10910-011-9810-yzbMath1309.81358OpenAlexW2035756707MaRDI QIDQ431992

Ofelia B. Oña, Diego R. Alcoba, Encarnación Pérez-Romero, Luis M. Tel, Carmela Valdemoro

Publication date: 3 July 2012

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

Full work available at URL: https://doi.org/10.1007/s10910-011-9810-y

zbMATH Keywords

correlation matrix\(G\)-particle-hole matrixelectronic correlation effectsHermitian operator methodhypervirial of the \(G\)-particle-hole matrix

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Molecular physics (81V55)

Related Items

Symmetry-adapted formulation of the \(G\)-particle-hole hypervirial equation method ⋮ Drawing information from the ground state \(g\)-particle-hole matrix to study electronic excited states ⋮ Symmetry-adapted formulation of the combined G-particle-hole hypervirial equation and Hermitian operator method

Cites Work

• Reduced density matrices. Coulson's challenge
• Electron Correlation
• The density matrix in self-consistent field theory I. Iterative construction of the density matrix
• Variational Approach to the Many-Body Problem
• Reduction of the N-Particle Variational Problem
• First-order semidefinite programming for the two-electron treatment of many-electron atoms and molecules
• 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