Relativistic quantum chaos

L Huang, HY Xu, C Grebogi, YC Lai - Physics Reports, 2018 - Elsevier
Quantum chaos is generally referred to as the study of quantum manifestations or
fingerprints of nonlinear dynamical and chaotic behaviors in the corresponding classical …

A hybrid Fermi–Ulam-bouncer model

ED Leonel, PVE McClintock - Journal of Physics A: Mathematical …, 2005 - iopscience.iop.org
Some dynamical and chaotic properties are studied for a classical particle bouncing
between two rigid walls, one of which is fixed and the other moves in time, in the presence of …

Quantum transport through ballistic cavities: Soft vs hard quantum chaos

B Huckestein, R Ketzmerick, CH Lewenkopf - Physical Review Letters, 2000 - APS
We study transport through a two-dimensional billiard attached to two infinite leads by
numerically calculating the Landauer conductance and the Wigner time delay. In the generic …

Periodic chaotic billiards: Quantum-classical correspondence in energy space

GA Luna-Acosta, JA Méndez-Bermúdez, FM Izrailev - Physical Review E, 2001 - APS
We investigate the properties of eigenstates and local density of states (LDOS) for a periodic
two-dimensional rippled billiard, focusing on their quantum-classical correspondence in …

Fano resonances in the conductance of quantum dots with mixed dynamics

M Mendoza, PA Schulz, RO Vallejos… - Physical Review B …, 2008 - APS
We study the conductance fluctuations of an open quantum dot with underlying mixed
dynamics. In addition to smooth conductance fluctuations, typical of chaotic quantum dots …

Quantum-classical correspondence for local density of states and eigenfunctions of a chaotic periodic billiard

GA Luna-Acosta, JA Méndez-Bermúdez, FM Izrailev - Physics Letters A, 2000 - Elsevier
Classical-quantum correspondence for conservative chaotic Hamiltonians is investigated in
terms of the structure of the eigenfunctions and the local density of states, using as a model …

On the dynamical properties of an elliptical–oval billiard with static boundary

DFM Oliveira, ED Leonel - … in Nonlinear Science and Numerical Simulation, 2010 - Elsevier
Some dynamical properties for a classical particle confined inside a closed region with an
elliptical–oval-like shape are studied. The dynamics of the model is made by using a two …

Classical versus quantum structure of the scattering probability matrix: Chaotic waveguides

GA Luna-Acosta, JA Méndez-Bermúdez, P Šeba… - Physical Review E, 2002 - APS
The purely classical counterpart of the scattering probability matrix (SPM)| S n, m| 2 of the
quantum scattering matrix S is defined for two-dimensional quantum waveguides for an …

Scaling properties for a classical particle in a time-dependent potential well

ED Leonel, PVE McClintock - Chaos: An Interdisciplinary Journal of …, 2005 - pubs.aip.org
Some scaling properties for a classical particle interacting with a time-dependent square-
well potential are studied. The corresponding dynamics is obtained by use of a two …

Quantum–classical correspondence for isolated systems of interacting particles: Localization and ergodicity in energy space

FM Izrailev - Physica Scripta, 2001 - iopscience.iop.org
Generic properties of the strength function (local density of states (LDOS)) and chaotic
eigenstates are analyzed for isolated systems of interacting particles. Both random matrix …