Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10678270 | Applied Mathematics Letters | 2013 | 7 Pages |
Abstract
It is known that certain physical systems, which do not generate deterministic chaos under conventional frameworks, may generate such complex behavior in a quantum mechanical setting. In this paper, it is proved that the annihilation operator of an unforced quantum harmonic oscillator admits an invariant distributionally ϵ-scrambled set for any 0<ϵ<2, showing that this operator can exhibit maximal distributional chaos on an uncountable invariant subset.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Xinxing Wu, Guanrong Chen,