# 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} }

- Published 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

#### Citations

##### Publications citing this paper.

Showing 1-2 of 2 extracted citations

#### References

##### Publications referenced by this paper.

Showing 1-9 of 9 references

## Pinball Scattering Quantum Chaos ed G Casati an d B V Chirikov

View 6 Excerpts

Highly Influenced

## 1990Chaos in Classical and Quantum Mechanics (New York: Springer

View 4 Excerpts

Highly Influenced

## Riemann’s zeta function: A model for quantum chaos? Quantum Chaos and Statistical Nuclear Physics (Lecture

View 6 Excerpts

Highly Influenced

## Mandelshta m V A and Taylor

View 1 Excerpt

## The1020th Zero of the Riemann Zeta Function and 70 Million of its Neighbours (AT&T Bell Laboratories

View 1 Excerpt

## 1987Digital Spectral Analysis with Applications (Englewood Cliffs, NJ: Prentice-Hall

View 2 Excerpts

## 1986The Theory of the Riemann Zeta-function 2 d edn (Oxford

View 3 Excerpts

## Chaotic motion and random-matrix theories Mathematical and Computational Methods in Nuclear Physics (Lecture Notes in Physics vol 209) ed

## 1974Riemann’s Zeta Function (New York: Academic

View 3 Excerpts