Perturbation theory in a framework of iteration methods

Details Perturbation theory in a framework of iteration methods Perturbation theory in a framework of iteration methods

2005-04-18

arxiv.org/abs/math-ph/0504056v1

Phys. Lett. A 340, 388-396 (2005)

Physics

Mathematical Physics

13 pages

Scientific paper

10.1016/j.physleta.2005.04.030

In a previous paper (J. Phys. A 36, 11807 (2003)), we introduced the `asymptotic iteration method' for solving second-order homogeneous linear differential equations. In this paper, 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.

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