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Asymptotic iteration method for eigenvalue problems

Hakan ÇiftçiGazi Universitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar, Ankara, TurkeyRichard L. HallDepartment of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, Québec H3G 1M8, CanadaNasser SaadDepartment of Mathematics and Statistics, University of Prince Edward Island, 550 University Avenue, Charlottetown, PEI C1A 4P3, Canada
2003en
ABI

Аннотация

An asymptotic interation method for solving second-order homogeneous linear differential equations of the form y'' = lambda(x) y' + s(x) y is introduced, where lambda(x) \neq 0 and s(x) are C-infinity functions. Applications to Schroedinger type problems, including some with highly singular potentials, are presented.

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