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We calculate accurate eigenvalues of the Schr\"odinger equation with thepotential $V(r)=V_{0}r^{\alpha}$, $\alpha \geq -1$, $V_{0}\alpha >0$. We resortto the Riccati-Pad\'e method that is based on a rational approximation to thelogarithmic derivative of the wavefunction. This approach applies when $\alpha$ is a rational number.

Accurate eigenvalues of the Schr\"odinger equation with the potential $V(r)=V_{0}r^{\alpha}$