Use of Harmonic Inversion Techniques in Semiclassical Quantization and Analysis of Quantum Spectra

  title={Use of Harmonic Inversion Techniques in Semiclassical Quantization and Analysis of Quantum Spectra},
  author={Jorg Main},
  journal={Physics Reports},
  • J. Main
  • Published 11 February 1999
  • Physics
  • Physics Reports
Abstract Harmonic inversion is introduced as a powerful tool for both the analysis of quantum spectra and semiclassical periodic orbit quantization. The method allows one to circumvent the uncertainty principle of the conventional Fourier transform and to extract dynamical information from quantum spectra which has been unattainable before, such as bifurcations of orbits, the uncovering of hidden ghost orbits in complex phase space, and the direct observation of symmetry breaking effects. The… 
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