Abstract
A two- or three-dimensional quantal isotropic anharmonic oscillator is treated by means of the phase-integral method of Fr\"oman and Fr\"oman. The generalized Bohr-Sommerfeld quantization condition for the radial wave function is expressed in terms of complete elliptic integrals up to the fifth order of the phase-integral approximation. The quantization condition is solved numerically, and energy levels are obtained for various quantum numbers. Comprison with numerically exact results is also made.
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