Geodesic
Squeezed Quantum States on an Interval and Uncertainty Relations for Nanoscale Systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 288-319

Voir la notice de l'article provenant de la source Math-Net.Ru

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{TM_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 = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {288--319},
     publisher = {mathdoc},
     volume = {265},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2009_265_a24/}
}
TY  - JOUR
AU  - I. V. Volovich
AU  - A. S. Trushechkin
TI  - Squeezed Quantum States on an Interval and Uncertainty Relations for Nanoscale Systems
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2009
SP  - 288
EP  - 319
VL  - 265
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2009_265_a24/
LA  - ru
ID  - TM_2009_265_a24
ER  - 
%0 Journal Article
%A I. V. Volovich
%A A. S. Trushechkin
%T Squeezed Quantum States on an Interval and Uncertainty Relations for Nanoscale Systems
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2009
%P 288-319
%V 265
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2009_265_a24/
%G ru
%F TM_2009_265_a24
I. V. Volovich; A. S. Trushechkin. Squeezed Quantum States on an Interval and Uncertainty Relations for Nanoscale Systems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 288-319. http://geodesic.mathdoc.fr/item/TM_2009_265_a24/