Abstract
The spectral properties of a self-adjoint second order operator of the limit-point type are discussed for the case of a continuous spectrum. A method that employs real numerical integration of the initial solutions in combination with the knowledge of a fundamental system of exponential solutions is presented. The latter are conveniently calculated from Riccati's differential equation.The method is applied to the Stark effect in the hydrogen atom and agreement with previous results based on Airy functions in the asymptotic region is found.
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