Proceedings of the Steklov Institute of Mathematics

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

Igor Vasil'evich Volovich, Anton Sergeevich Trushechkin

Published Jul 1, 2009• 6 citations

Abstract

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.

DOI: 10.1134/s0081543809020254

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