ON GLOBAL APPROXIMATE CONTROLLABILITY OF A QUANTUM PARTICLE IN A BOX BY MOVING WALLS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F24%3A00382527" target="_blank" >RIV/68407700:21340/24:00382527 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1137/22M1518980" target="_blank" >https://doi.org/10.1137/22M1518980</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/22M1518980" target="_blank" >10.1137/22M1518980</a>

Result language
angličtina
Original language name
ON GLOBAL APPROXIMATE CONTROLLABILITY OF A QUANTUM PARTICLE IN A BOX BY MOVING WALLS
Original language description
We study a system composed of a free quantum particle trapped in a box whose walls can change their position. We prove the global approximate controllability of the system: any initial pure state can be driven arbitrarily close to any target pure state in the Hilbert space of the free particle with a predetermined final position of the box. To this purpose we consider weak solutions of the Schrodinger equation and use a stability theorem for the time -dependent Schrodinger equation.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GX20-17749X" target="_blank" >GX20-17749X: New challenges for spectral theory: geometry, advanced materials and complex fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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