BOUNDSTATES OF TWO‐ELECTRON SYSTEMS IN QUANTUM CONFINED GEOMETRIES

DOI10.1108/EB051818zbMATH Open0812.65114OpenAlexW2121768982MaRDI QIDQ4315344

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Publication date: 8 December 1994

Published in: COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/eb051818

zbMATH Keywords

perturbation theorySchrödinger equationFourier methodtwo-electron systemalternating direction implicit algorithmboundstate energieswave function correlation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05)

Related Items (7)

Bound states of a two-boson system on a two-dimensional lattice ⋮ The two-electron atomic systems. S-states ⋮ Coulomb, exchange, kinetic, nuclear attraction and ionization energies of two-electron quantum dot with finite confinement potential ⋮ Bound states of a charged particle in the field of an electric quadrupole in two dimensions ⋮ Energies of weakly bound and near-threshold resonance states of a quantum particle in a two-dimensional plane ⋮ Rigorous energy bounds for two-electron systems ⋮ Exact two-body bound states with Coulomb repulsion in a periodic potential

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