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 …
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 …
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 …
Mesoscopic physics has emerged as a new, interdisciplinary field combining concepts of atomic, molecular, cluster, and condensed-matter physics. On the one hand mesoscopic …
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 …
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 …
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 …
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 …
Quantum chaos is generally referred to as the study of quantum manifestations or fingerprints of nonlinear dynamical and chaotic behaviors in the corresponding classical …