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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/895| Periodic Sturm–Liouville problems related to two Riccati equations of constant coefficients | |
| HARET CODRATIAN ROSU | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1016/j.aop.2009.12.002 | |
| Riccati equation Bloch solutions Hill discriminant | |
| "We consider two closely related Riccati equations of constant parameters whose particular solutions are used to construct the corresponding class of supersymmetrically-coupled second-order differential equations. We solve an-alytically these parametric periodic problems along the positive real axis. Next, the analytically solved model is used as a case study for a powerful numerical approach that is employed here for thefirst time in the investigation of the en-ergy band structure of periodic not necessarily regular potentials. The approach is based on the well-known self-matching procedure of James (1949) and imple-ments the spectral parameter power series solutions introduced by Kravchenko (2008). We obtain additionally an efficient series representation of the Hill dis-criminant based on Kravchenko’s series." | |
| Elsevier | |
| 2010 | |
| Artículo | |
| Inglés | |
| Público en general | |
| K.V. Khmelnytskaya, H.C. Rosu, A. González, Periodic Sturm–Liouville problems related to two Riccati equations of constant coefficients, Annals of Physics, Volume 325, Issue 3, 2010, Pages 596-606, ISSN 0003-4916, http://dx.doi.org/10.1016/j.aop.2009.12.002. | |
| CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA | |
| Versión aceptada | |
| acceptedVersion - Versión aceptada | |
| Aparece en las colecciones: | Publicaciones Científicas Nanociencias y Materiales |
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