### Abstract

Irregular behavior in a simple two-dimensional scattering model is investigated in the quantum domain. The scattering potential is composed from Dirac deltas on a stadium shaped curve. The unusual feature of the model is that the irregular patterns disappear in the classical limit because the main mechanism leading to resonances in the cross section data is the quantum tunneling. Calculations for the standard characteristics such as nearest-neighbor distribution of eigenphases of the S-matrix, the distribution of the S-matrix elements and the correlation function of the total cross section are performed. Deviations from the usual predictions for irregular scattering have been found in certain regions, which can be traced back to the fact that the model does not have such a characteristic time like the classical escape rate, which survives the classical limit.

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

Pages (from-to) | 637-642 |

Number of pages | 6 |

Journal | Chaos |

Volume | 3 |

Issue number | 4 |

Publication status | Published - 1993 |

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### ASJC Scopus subject areas

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

### Cite this

*Chaos*,

*3*(4), 637-642.

**Quantum irregular scattering induced by tunneling.** / Csordás, A.; Šeba, Petr.

Research output: Contribution to journal › Article

*Chaos*, vol. 3, no. 4, pp. 637-642.

}

TY - JOUR

T1 - Quantum irregular scattering induced by tunneling

AU - Csordás, A.

AU - Šeba, Petr

PY - 1993

Y1 - 1993

N2 - Irregular behavior in a simple two-dimensional scattering model is investigated in the quantum domain. The scattering potential is composed from Dirac deltas on a stadium shaped curve. The unusual feature of the model is that the irregular patterns disappear in the classical limit because the main mechanism leading to resonances in the cross section data is the quantum tunneling. Calculations for the standard characteristics such as nearest-neighbor distribution of eigenphases of the S-matrix, the distribution of the S-matrix elements and the correlation function of the total cross section are performed. Deviations from the usual predictions for irregular scattering have been found in certain regions, which can be traced back to the fact that the model does not have such a characteristic time like the classical escape rate, which survives the classical limit.

AB - Irregular behavior in a simple two-dimensional scattering model is investigated in the quantum domain. The scattering potential is composed from Dirac deltas on a stadium shaped curve. The unusual feature of the model is that the irregular patterns disappear in the classical limit because the main mechanism leading to resonances in the cross section data is the quantum tunneling. Calculations for the standard characteristics such as nearest-neighbor distribution of eigenphases of the S-matrix, the distribution of the S-matrix elements and the correlation function of the total cross section are performed. Deviations from the usual predictions for irregular scattering have been found in certain regions, which can be traced back to the fact that the model does not have such a characteristic time like the classical escape rate, which survives the classical limit.

UR - http://www.scopus.com/inward/record.url?scp=28244467339&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=28244467339&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:28244467339

VL - 3

SP - 637

EP - 642

JO - Chaos

JF - Chaos

SN - 1054-1500

IS - 4

ER -