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dc.contributor.authorGonzález León, Miguel Ángel
dc.contributor.authorMateos Guilarte, Juan
dc.contributor.authorTorre Mayado, Marina de la
dc.identifier.citationGonzález León, M. A., Mateos Guilarte, J. and Torre Mayado, M. de la. (2016). Elementary solutions of the quantum planar two-center problem. EPL, 114(3), 30007es_ES
dc.description.abstract[EN] The quantum problem of an electron moving in a plane under the field created by two Coulombian centers admits simple analytical solutions for some particular intercenter distances. These elementary eigenfunctions, akin to those found by Demkov for the analogous three-dimensional problem, are calculated using the framework of quasi-exact solvability of a pair of entangled ODE's descendants from the Heun equation. A different but interesting situation arises when the two centers have the same strength. In this case completely elementary solutions do not exist.es_ES
dc.format.extent9 p.
dc.rightsAttribution-NonCommercial-NoDerivs 4.0 International
dc.subjectSolutions of wave equations: bound stateses_ES
dc.subjectMathematical physicses_ES
dc.subjectIntegrable systemses_ES
dc.subjectCalculations and mathematical techniques in atomic and molecular physicses_ES
dc.titleElementary solutions of the quantum planar two-center problemes_ES

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Attribution-NonCommercial-NoDerivs 4.0 International
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 4.0 International