Liouvillian solutions for second order linear diferential equations with polynomial coefcients

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...

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Autores:
Acosta‑Humánez, Primitivo B.
Blázquez‑Sanz, David
Venegas‑Gómez, Henock
Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad Simón Bolívar
Repositorio:
Repositorio Digital USB
Idioma:
eng
OAI Identifier:
oai:bonga.unisimon.edu.co:20.500.12442/6724
Acceso en línea:
https://hdl.handle.net/20.500.12442/6724
https://doi.org/10.1007/s40863-020-00186-0
https://link.springer.com/article/10.1007/s40863-020-00186-0
Palabra clave:
Anharmonic oscillators
Asymptotic iteration method
Kovacic algorithm
Liouvillian solutions
Parameter space
Quasi-solvable model
Schrödinger equation
Spectral varieties
Rights
openAccess
License
Attribution-NonCommercial-NoDerivatives 4.0 Internacional