On the invariance of maximal distributional chaos under an annihilation operator

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)1134-1140
Journal / PublicationApplied Mathematics Letters
Volume26
Issue number12
Publication statusPublished - Dec 2013

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

Research Area(s)

  • ε-chaos, Annihilation operator, Distributional, Invariant set