Squeezed quantum states on an interval and uncertainty relations for nanoscale systems



We construct families of squeezed quantum states on an interval and analyze their asymptotic behavior. We study the localization properties of a kind of such states constructed on the basis of the theta function. For the coordinate and momentum dispersions of a quantum particle on an interval, we obtain estimates that apply, in particular, to nanoscale systems.


Wave Packet Coherent State STEKLOV Institute Uncertainty Relation Asymptotic Formula 
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© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia

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