Liouvillian solutions for second order linear diferential equations with polynomial coefcients
| datacite.rights | http://purl.org/coar/access_right/c_abf2 | spa |
| dc.contributor.author | Acosta‑Humánez, Primitivo B. | |
| dc.contributor.author | Blázquez‑Sanz, David | |
| dc.contributor.author | Venegas‑Gómez, Henock | |
| dc.date.accessioned | 2020-10-20T18:21:17Z | |
| dc.date.available | 2020-10-20T18:21:17Z | |
| dc.date.issued | 2020-09-10 | |
| dc.description.abstract | In this paper we present an algebraic study concerning the general second order linear diferential equation with polynomial coefcients. By means of Kovacic’s algorithm and asymptotic iteration method we fnd a degree independent algebraic description of the spectral set: the subset, in the parameter space, of Liouville integrable diferential equations. For each fxed degree, we prove that the spectral set is a countable union of non accumulating algebraic varieties. This algebraic description of the spectral set allow us to bound the number of eigenvalues for algebraically quasi-solvable potentials in the Schrödinger equation. | eng |
| dc.format.mimetype | spa | |
| dc.identifier.doi | https://doi.org/10.1007/s40863-020-00186-0 | |
| dc.identifier.issn | 23169028 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12442/6724 | |
| dc.identifier.url | https://link.springer.com/article/10.1007/s40863-020-00186-0 | |
| dc.language.iso | eng | eng |
| dc.publisher | Springer | eng |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | eng |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | spa |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.source | São Paulo Journal of Mathematical Sciences | eng |
| dc.subject | Anharmonic oscillators | eng |
| dc.subject | Asymptotic iteration method | eng |
| dc.subject | Kovacic algorithm | eng |
| dc.subject | Liouvillian solutions | eng |
| dc.subject | Parameter space | eng |
| dc.subject | Quasi-solvable model | eng |
| dc.subject | Schrödinger equation | eng |
| dc.subject | Spectral varieties | eng |
| dc.title | Liouvillian solutions for second order linear diferential equations with polynomial coefcients | eng |
| dc.title.abbreviated | São Paulo J. Math. Sci. | eng |
| dc.type.driver | info:eu-repo/semantics/article | spa |
| dc.type.spa | Artículo científico | spa |
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| oaire.version | info:eu-repo/semantics/publishedVersion | spa |