Journal
PHYSICS LETTERS A
Volume 340, Issue 5-6, Pages 388-396Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2005.04.030
Keywords
asymptotic iteration method; perturbation series; eigenvalue problems; Schrodinger equation
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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. (c) 2005 Elsevier B.V. All rights reserved.
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