New developments in classical chaotic scattering

JM Seoane, MAF Sanjuán - Reports on Progress in Physics, 2012 - iopscience.iop.org
Classical chaotic scattering is a topic of fundamental interest in nonlinear physics due to the
numerous existing applications in fields such as celestial mechanics, atomic and nuclear …

[HTML][HTML] Systematically constructing mesoscopic quantum states relevant to periodic orbits in integrable billiards from directionally resolved level distributions

YF Chen, SQ Lin, RW Chang, YT Yu, HC Liang - Symmetry, 2023 - mdpi.com
Two-dimensional quantum billiards are one of the most important paradigms for exploring
the connection between quantum and classical worlds. Researchers are mainly focused on …

Position-dependent mass fractal Schrodinger equation from fractal anisotropy and product-like fractal measure and its implications in quantum dots and nanocrystals

RA El-Nabulsi - Optical and Quantum Electronics, 2021 - Springer
In this study, the Schrödinger equation with position-dependent mass in fractal dimensions
is constructed from fractal anisotropy and product-like fractal measure introduced by Li and …

Fractal conductance fluctuations in a soft-wall stadium and a Sinai billiard

AS Sachrajda, R Ketzmerick, C Gould, Y Feng… - Physical review …, 1998 - APS
Conductance fluctuations have been studied in a soft-wall stadium and a Sinai billiard
defined by electrostatic gates on a high mobility semiconductor heterojunction. These …

[图书][B] Semiclassical theory of mesoscopic quantum systems

K Richter, K Richter - 2000 - Citeseer
Mesoscopic physics has emerged as a new, interdisciplinary field combining concepts of
atomic, molecular, cluster, and condensed-matter physics. On the one hand mesoscopic …

Imaging Fractal Conductance Fluctuations and Scarred Wave Functions<? format?> in a Quantum Billiard

R Crook, CG Smith, AC Graham, I Farrer, HE Beere… - Physical review …, 2003 - APS
We present scanning-probe images and magnetic-field plots which reveal fractal
conductance fluctuations in a quantum billiard. The quantum billiard is drawn and tuned …

Fractal analysis of time-series data sets: Methods and challenges

I Pilgrim, RP Taylor - Fractal analysis, 2018 - books.google.com
Many methods exist for quantifying the fractal characteristics of a structure via a fractal
dimension. As a traditional example, a fractal dimension of a spatial fractal structure may be …

Multifractal magnetoconductance fluctuations in mesoscopic systems

NL Pessoa, ALR Barbosa, GL Vasconcelos… - Physical Review E, 2021 - APS
We perform a multifractal detrended fluctuation analysis of the magnetoconductance data of
two standard types of mesoscopic systems: a disordered nanowire and a ballistic chaotic …

Open circular billiards and the Riemann hypothesis

LA Bunimovich, CP Dettmann - Physical review letters, 2005 - APS
A comparison of escape rates from one and from two holes in an experimental container (eg,
a laser trap) can be used to obtain information about the dynamics inside the container. If …

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 …