### Abstract

A new method is presented to extract information concerning the strange repeller underlying chaotic potential scattering based on classical and quantum mechanical scattering cross section data in the semiclassical limit. In particular, the authors show that both the fractal dimension and the escape rate of the classical system can be deduced from quantum measurements. The method can be applied in the limit of small wavelengths of the incoming projectile compared with the size of the target. As input, the differential quantum cross section is needed for the angle and/or the energy with such good resolution that fast interference oscillations are well resolved.

Original language | English |
---|---|

Article number | 018 |

Pages (from-to) | 2793-2805 |

Number of pages | 13 |

Journal | Journal of Physics A: General Physics |

Volume | 24 |

Issue number | 12 |

DOIs | |

Publication status | Published - 1991 |

### Fingerprint

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

**Dimension and escape rate of chaotic scattering from classical and semiclassical cross section data.** / Jung, C.; Tél, T.

Research output: Contribution to journal › Article

*Journal of Physics A: General Physics*, vol. 24, no. 12, 018, pp. 2793-2805. https://doi.org/10.1088/0305-4470/24/12/018

}

TY - JOUR

T1 - Dimension and escape rate of chaotic scattering from classical and semiclassical cross section data

AU - Jung, C.

AU - Tél, T.

PY - 1991

Y1 - 1991

N2 - A new method is presented to extract information concerning the strange repeller underlying chaotic potential scattering based on classical and quantum mechanical scattering cross section data in the semiclassical limit. In particular, the authors show that both the fractal dimension and the escape rate of the classical system can be deduced from quantum measurements. The method can be applied in the limit of small wavelengths of the incoming projectile compared with the size of the target. As input, the differential quantum cross section is needed for the angle and/or the energy with such good resolution that fast interference oscillations are well resolved.

AB - A new method is presented to extract information concerning the strange repeller underlying chaotic potential scattering based on classical and quantum mechanical scattering cross section data in the semiclassical limit. In particular, the authors show that both the fractal dimension and the escape rate of the classical system can be deduced from quantum measurements. The method can be applied in the limit of small wavelengths of the incoming projectile compared with the size of the target. As input, the differential quantum cross section is needed for the angle and/or the energy with such good resolution that fast interference oscillations are well resolved.

UR - http://www.scopus.com/inward/record.url?scp=0001041019&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001041019&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/24/12/018

DO - 10.1088/0305-4470/24/12/018

M3 - Article

AN - SCOPUS:0001041019

VL - 24

SP - 2793

EP - 2805

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 12

M1 - 018

ER -