Exact solution for two-dimensional Coulomb matrix elements

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dc.creatorZaratiegui, Jaime
dc.date2006-10-26
dc.date.accessioned2026-07-07T07:28:29Z
dc.date.available2026-07-07T07:28:29Z
dc.descriptionExact analytic expression is derived for the matrix elements of the Coulomb interaction in two dimensions in the form of a closed finite sum expression. The orthonormal complete set of eigenfunctions of the harmonic oscillator is used as the basis for spanning real space. Several recurrence relations have been found in order to simplify the task of calculating the usually vast amount of elements required for any computer simulation.
dc.description7 pages, REVTeX 4
dc.identifierhttps://arxiv.org/abs/math-ph/0610072
dc.identifierhttp://arxiv.org/abs/math-ph/0610072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117752
dc.subjectMathematical Physics
dc.subject65Q05
dc.titleExact solution for two-dimensional Coulomb matrix elements
dc.typetext

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