Bound Eigenstate dynamics under a sudden shift of the well's wall
Quantum Physics
2010-11-22 v1
Abstract
We investigate the dynamics of the eigenstate of an infinite well under an abrupt shift of the well's wall. It is shown that when the shift is small compared to the initial well's dimensions, the short time behavior changes from the well known t^(3/2) behavior to t^(1/2) . It is also shown that the complete dynamical picture converges to a universal function, which has fractal structure with dimensionality D=1.25.
Cite
@article{arxiv.1011.4345,
title = {Bound Eigenstate dynamics under a sudden shift of the well's wall},
author = {Er'el Granot and Avi Marchewka},
journal= {arXiv preprint arXiv:1011.4345},
year = {2010}
}
Comments
14 pages, 7 figures