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CP methods and the evaluation of negative energy Coulomb Whittaker functions. (English) Zbl 1074.65077
Summary: The CP (constant reference potential perturbation) methods are specialized methods for the solution of Schrödinger equations. They allow big step sizes and are well suited for oscillatory problems. As an illustration of the power of these methods, oscillating Whittaker functions of the second kind are obtained with high accuracy, using a high-order CP-method.

MSC:
65L05 Numerical methods for initial value problems
34A30 Linear ordinary differential equations and systems, general
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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