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

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

2010-11-19

arxiv.org/abs/1011.4345v1

Phys. Rev. A 81032125 (2010)

Physics

Quantum Physics

14 pages, 7 figures

Scientific paper

10.1103/PhysRevA.81.032125

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.

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