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arxiv: math-ph/0309066 · v1 · submitted 2003-09-30 · 🧮 math-ph · math.MP

Asymptotic iteration method for eigenvalue problems

classification 🧮 math-ph math.MP
keywords asymptoticlambdamethodproblemsapplicationsc-infinitydifferentialeigenvalue
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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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