Transport of a wave packet via an open quantum dot: on the correspondence with classical billiards

摘要

The evolution of two-dimensional Gaussian wave packets in mesoscopic dots was analyzed by solving the time-dependent Schrodinger equation numerically. it was found that the motion of the probability density peaks relates to the classical orbits of billiards. The effect of the dot shape (circle, ellipse or stadium) on the time evolution of the wave packet is discussed in terms of the symmetry of the eigenfunctions. (C) 2003 Elsevier B.V. All rights reserved. [References: 7]