2020-11-27T17:44:31Zhttps://gredos.usal.es/oai/requestoai:gredos.usal.es:10366/1331392020-06-18T14:54:53Zcom_10366_116214com_10366_4512com_10366_3823col_10366_116215
Elementary solutions of the quantum planar two-center problem
González León, Miguel Ángel
Mateos Guilarte, Juan
Torre Mayado, Marina de la
Solutions of wave equations: bound states
Mathematical physics
Integrable systems
Calculations and mathematical techniques in atomic and molecular physics
[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.
2017-05-18T10:56:41Z
2017-05-18T10:56:41Z
2017-05-18T10:56:41Z
2016
info:eu-repo/semantics/article
González 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), 30007
http://hdl.handle.net/10366/133139
https://doi.org/10.1209/0295-5075/114/30007
eng
https://arxiv.org/pdf/1603.05454.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivs 4.0 International