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A method is developed for the numerical calculation of characteristic energy levels in cases where the wave equation contains, or can be reduced so as to contain, a single space variable. The procedure consists in the numerical integration of an auxiliary differential equation for several chosen values of the energy, after which the characteristic values are obtained by interpolation. The method is one of considerable generality so far as the form of the differential equation is concerned, and is capable of giving any preassigned degree of accuracy.
W. E. Milne (Tue,) studied this question.