Quantum irregular scattering induced by tunneling

A. Csordás, Petr Šeba

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)637-642
Number of pages6
JournalChaos
Volume3
Issue number4
Publication statusPublished - 1993

Fingerprint

Irregular
Classical Limit
Scattering
Cross section
scattering
Escape Rate
Stadiums
cross sections
matrices
Paul Adrien Maurice Dirac
escape
Correlation Function
Nearest Neighbor
Deviation
Model
deviation
Curve
Prediction
curves
predictions

ASJC Scopus subject areas

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

Cite this

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

In: Chaos, Vol. 3, No. 4, 1993, p. 637-642.

Research output: Contribution to journalArticle

Csordás, A & Šeba, P 1993, 'Quantum irregular scattering induced by tunneling', Chaos, vol. 3, no. 4, pp. 637-642.
Csordás, A. ; Šeba, Petr. / Quantum irregular scattering induced by tunneling. In: Chaos. 1993 ; Vol. 3, No. 4. pp. 637-642.
@article{334d7cb221dc437e9f49ed6573a1a9e4,
title = "Quantum irregular scattering induced by tunneling",
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.",
author = "A. Csord{\'a}s and Petr Šeba",
year = "1993",
language = "English",
volume = "3",
pages = "637--642",
journal = "Chaos",
issn = "1054-1500",
publisher = "American Institute of Physics Publising LLC",
number = "4",

}

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 -