Periodic orbit quantization of chaotic maps by harmonic inversion

@article{Weibert2001PeriodicOQ,
  title={Periodic orbit quantization of chaotic maps by harmonic inversion},
  author={Kirsten Weibert and Jorg Main and G{\"u}nter Wunner},
  journal={Physics Letters A},
  year={2001},
  volume={289},
  pages={329-332}
}
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References

SHOWING 1-10 OF 27 REFERENCES

Use of harmonic inversion techniques in the periodic orbit quantization of integrable systems

Abstract:Harmonic inversion has already been proven to be a powerful tool for the analysis of quantum spectra and the periodic orbit orbit quantization of chaotic systems. The harmonic inversion

Periodic Orbit Quantization by Harmonic Inversion of Gutzwiller's Recurrence Function

Semiclassical eigenenergies and resonances are obtained from classical periodic orbits by harmonicinversion of Gutzwiller’s semiclassical recurrence function, i.e., the trace of the

Periodic orbit quantization of Baker's map

We consider the resummation of the semiclassical Selberg zeta function for quantized maps on compact phase space, specifically the quantized Baker's map. In particular, we demonstrate that the

Chaos in classical and quantum mechanics

Contents: Introduction.- The Mechanics of Lagrange.- The Mechanics of Hamilton and Jacobi.- Integrable Systems.- The Three-Body Problem: Moon-Earth-Sun.- Three Methods of Section.- Periodic Orbits.-

High Resolution Quantum Recurrence Spectra: Beyond the Uncertainty Principle

Highly resolved recurrence spectra are obtained by harmonic inversion of quantum spectra of classically chaotic systems and compared in detail to the results of semiclassical {ital periodic orbit}

Anatomy of the trace formula for the baker's map.

The structure of the trace formula for quantum maps on a compact phase space is analyzed. An explicit expression for the functional determinant in terms of a finite number of traces is derived which

Periodic orbit action correlations in the Baker map

Periodic orbit action correlations are studied for the piecewise linear, area-preserving Baker map. Semiclassical periodic orbit formulae together with universal spectral statistics in the