Normalization of Certain Higher-Order Phase-Integral Approximations for Wavefunctions of Bound States in a Potential Well. II

Abstract

Using a formula derived from equations given by Furry for the normalization integral of the wavefunction corresponding to a bound state, we derive the normalization factor for the higher-order phase-integral approximations introduced by N. Fröman. The present treatment is based on the method developed by N. Fröman and P.O. Fröman, in which one uses exact formulas in the calculations and makes the approximations in the final stage. We particularize the resulting general formula to the case of a single-well potential previously discussed by the present author and to the case of a double-well potential, which has been treated in a series of papers from this institute.