WKB Calculation of the Energy Levels of Anharmonic Oscillators

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Abstract
The WKB approximations in the calculation of the energy levels of the mixed harmonic—quartic oscillator are presented by using Miller and Good's modified version of this method. The results indicate that very close energy eigenvalues in comparison with the exact calculation results given by Chan, Stelman, and Thompson can be obtained with the exception of the ground state. If the harmonic oscillator is chosen as a base, the Miller and Good method coincides with the ordinary WKB method. If the quartic oscillator is used as a base, their method gives better eigenvalues than the ordinary WKB method does.