Geodesic
Squeezed Quantum States on an Interval and Uncertainty Relations for Nanoscale Systems
Informatics and Automation, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 288-319

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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. 
@article{TRSPY_2009_265_a24,
     author = {I. V. Volovich and A. S. Trushechkin},
     title = {Squeezed {Quantum} {States} on an {Interval} and {Uncertainty} {Relations} for {Nanoscale} {Systems}},
     journal = {Informatics and Automation},
     pages = {288--319},
     publisher = {mathdoc},
     volume = {265},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2009_265_a24/}
}
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I. V. Volovich; A. S. Trushechkin. Squeezed Quantum States on an Interval and Uncertainty Relations for Nanoscale Systems. Informatics and Automation, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 288-319. http://geodesic.mathdoc.fr/item/TRSPY_2009_265_a24/