Multi-point quasi-rational approximants for the energy eigenvalues of potentials of the form V(x)= Ax^a + Bx^b
| dc.creator | Martin, P. | |
| dc.creator | De Freitas, A. | |
| dc.creator | Castro, E. | |
| dc.creator | Paz, J. L. | |
| dc.date | 2008-10-13 | |
| dc.date.accessioned | 2026-07-07T10:09:51Z | |
| dc.date.available | 2026-07-07T10:09:51Z | |
| dc.description | Analytic approximants for the eigenvalues of the one-dimensional Schrödinger equation with potentials of the form $V(x)= Ax^a + Bx^b$ are found using a multi-point quasi-rational approximation technique. This technique is based on the use of the power series and asymptotic expansion of the eigenvalues in $λ=A^{-\frac{b+2}{a+2}}B$, as well as the expansion at intermediate points. These expansions are found through a system of differential equations. The approximants found are valid and accurate for any value of $λ$. As examples, the technique is applied to the quartic and sextic anharmonic oscillators. | |
| dc.identifier | https://arxiv.org/abs/0810.2334 | |
| dc.identifier | http://arxiv.org/abs/0810.2334 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171452 | |
| dc.subject | Quantum Physics | |
| dc.title | Multi-point quasi-rational approximants for the energy eigenvalues of potentials of the form V(x)= Ax^a + Bx^b | |
| dc.type | text |