Harmonic inversion as a general method for periodic orbit quantization

@inproceedings{Main1998HarmonicIA,
  title={Harmonic inversion as a general method for periodic orbit quantization},
  author={J{\"o}rg Main and Vladimir A Mandelshtam and G. Wunner and Howard S. Taylor},
  year={1998}
}
In semiclassical theories for chaotic systems, such as Gutzwiller’s periodic orbit theory, the energy eigenvalues and resonances are obtained as poles of a non-convergent series g(w) =∑n An exp(isnw). We present a general method for the analytic continuation of such a non-convergent series by harmonic inversion of the ‘time’ signal, which is the Fourier transform of g(w). We demonstrate the general applicability and accuracy of the method on two different systems with completely different… CONTINUE READING

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