An analytical Fourier transform method for semiclassical quantization

We present an analytical Fourier transform method (AFT), to calculate semiclassical eigenvalues of multidimensional systems in the regular regime. The AFT method is compared with some previous semiclassical techniques which make use of the fast Fourier transform (FFT). It is shown that the AFT method combines the best properties of those FFT procedures: accuracy, stability and simplicity.