Bound Eigenstate dynamics under a sudden shift of the well's wall

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.

14 pages, 7 figures

References in corpus (2)

• Generic Short-Time Propagation of Sharp-Boundaries Wave Packets
• A quantum decay model with exact explicit analytical solution

Cited by in corpus (1)

• Analytical study of quadratic and non-quadratic short-time behavior of quantum decay