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Avtomatika i Telemekhanika, 2007, Issue 10, Pages 28–37 (Mi at1062)  
Applied Problems

Optimization of kinetic energy of a micro-object by impulse fields

D. S. Zavalishchin, S. T. Zavalishchin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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Abstract: The generalization is performed of the Schrodinger equation for the kinetic energy of a micro-object to potential fields with the structure of distribution of the first order of singularity. This made it possible to solve the problem of minimization of the kinetic energy of a micro-object at the prescribed level of its observation in the class of potentials concentrated in a limited volume with a smooth surface. It was found that the singular component of the optimal potential is a simple layer concentrated at the volume boundary. Graphs are displayed of some affine transformations of the squares of optimal wave functions and appropriate potentials.
Presented by the member of Editorial Board: A. I. Kibzun

Received: 14.12.2006
English version:
Automation and Remote Control, 2007, Volume 68, Issue 10, Pages 1756–1764
DOI: https://doi.org/10.1134/S0005117907100049
Bibliographic databases:
Document Type: Article
PACS: 03.65.-w, 05.30.-d
Language: Russian
Citation: D. S. Zavalishchin, S. T. Zavalishchin, “Optimization of kinetic energy of a micro-object by impulse fields”, Avtomat. i Telemekh., 2007, no. 10, 28–37; Autom. Remote Control, 68:10 (2007), 1756–1764
Citation in format AMSBIB
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\by D.~S.~Zavalishchin, S.~T.~Zavalishchin
\paper Optimization of kinetic energy of a~micro-object by impulse fields
\jour Avtomat. i Telemekh.
\yr 2007
\issue 10
\pages 28--37
\mathnet{http://mi.mathnet.ru/at1062}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2360025}
\zmath{https://zbmath.org/?q=an:1146.93027}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 10
\pages 1756--1764
\crossref{https://doi.org/10.1134/S0005117907100049}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-35648979477}
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