Complexity, Tunneling and Geometrical Symmetry
Condensed Matter
2008-12-18 v1 chao-dyn
Chaotic Dynamics
Quantum Physics
Abstract
It is demonstrated in the context of the simple one-dimensional example of a barrier in an infinite well, that highly complex behavior of the time evolution of a wave function is associated with the almost degeneracy of levels in the process of tunneling. Degenerate conditions are obtained by shifting the position of the barrier. The complexity strength depends on the number of almost degenerate levels which depend on geometrical symmetry. The presence of complex behavior is studied to establish correlation with spectral degeneracy.
Cite
@article{arxiv.cond-mat/9604130,
title = {Complexity, Tunneling and Geometrical Symmetry},
author = {L. P. Horwitz and J. Levitan and Y. Ashkenazy},
journal= {arXiv preprint arXiv:cond-mat/9604130},
year = {2008}
}
Comments
9 revtex pages, 6 Postscript figures (uuencoded)