Value of interparticle interaction potential as a variable in solving many-body Schrödinger equation

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dc.creatorTapilin, V. M.
dc.date2008-09-09
dc.date.accessioned2026-07-07T10:01:41Z
dc.date.available2026-07-07T10:01:41Z
dc.descriptionA many-body wave function is approximated by a product of two functions: the wave function $ϕ$ depending on the particle coordinates and the function $χ$ depending only on the value of interparticle interaction potential. For the given $ϕ$ an ordinary linear differential equation for $χ$ is derived by averaging the Hamiltonian over the constant interparticle interaction potential surface. Generalized Hartree-Fock equations containing correlation effects are obtained. To test the proposed technique the ground $1^{1}S_0$ and excited $2^{3}S_1$ states of two-electron ions from H$^-$ up to Ne$^{8+}$ are calculated. In all cases the calculated energies are more accurate than those obtained with the Hartree-Fock theory even taking as $ϕ$ the symmetrized product of electron wave functions in the Coulomb field of nucleus complitly disregarded the electron-electron interaction. Variation of factors in the one-particle wave function exponents leads to the results close to those of configuration interaction approach.
dc.description12 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0809.1478
dc.identifierhttp://arxiv.org/abs/0809.1478
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168713
dc.subjectQuantum Physics
dc.titleValue of interparticle interaction potential as a variable in solving many-body Schrödinger equation
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