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Perturbation theory in a framework of iteration methods |
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| Authors: | Hakan Ciftci Richard L. Hall Nasser Saad |
| Affiliation: | aGazi Universitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar, Ankara, Turkey bDepartment of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, Québec, Canada H3G 1M8 cDepartment of Mathematics and Statistics, University of Prince Edward Island, 550 University Avenue, Charlottetown, PEI, Canada C1A 4P3 |
| Abstract: | In a previous paper [J. Phys. A 36 (2003) 11807], we introduced the ‘asymptotic iteration method’ for solving second-order homogeneous linear differential equations. In this Letter, we study perturbed problems in quantum mechanics and we use the method to find the coefficients in the perturbation series for the eigenvalues and eigenfunctions directly, without first solving the unperturbed problem. |
| Keywords: | Asymptotic iteration method Perturbation series Eigenvalue problems Schrödinger equation |
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