Accurate eigenvalues of the Schrödinger equation with the potential $V(r)=V_{0}r^α$

We calculate accurate eigenvalues of the Schrödinger equation with the potential $V(r)=V_{0}r^α$, $α\geq -1$, $V_{0}α>0$. We resort to the Riccati-Padé method that is based on a rational approximation to the logarithmic derivative of the wavefunction. This approach applies when $α$ is a rational number.

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