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| Format: | Artículo científico |
| Language: | en |
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Sociedad Mexicana de Física A.C.
2012
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| Online Access: | https://www.redalyc.org/articulo.oa?id=57023376003 |
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Table of Contents:
- Multi-point quasi-rational approximants for the energy eigenvalues of two-power potentials P. Martin E. Castro J.L. Paz Física, Astronomía y Matemáticas quasi eigenvalues eigenfunctions Polynomial potentials rational approximants Analytic approximants for the eigenvalues of the one-dimensional Schr¨odinger equation with potentials of the form V (x) = xa + ¸xb are found using a multi-point quasi-rational approximation technique. This technique is based on the use of the power series and asymptoticexpansion of the eigenvalues in ¸, 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 values of T > 0 (with b > a). As an example, the technique is applied to the quartic anharmonic oscillator. 2012 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57023376003 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.4 Vol.58