Abstract
We develop a power-series approach for the calculation of eigenvalues and eigenfunctions of separable quantum-mechanical problems. It improves on the widely used Hill-determinant method through a more convenient determination of the exponential factor of the eigenfunctions from a Riccati-like equation. The present Riccati-Hill approach yields accurate eigenvalues and eigenfunctions for an anharharmonic oscillator which has recently proved intractable by means of the standard method of the Hill determinant.
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