Classical limit analysis of the semiclassical spectral quantization method

We examine the classical limit (ℏ→0) of the semiclassical spectral quantization method (SQ) proposed in an earlier publication. Using the classical limit analysis, equations are derived which should improve the accuracy of SQ for finite ℏ. Our analysis is focused on problems involving coupled and uncoupled oscillator systems. Special attention is given to the situation when the unperturbed oscillators are anharmonic. Application to cases where classical resonances are present are also discussed.