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Avtomat. i Telemekh., 2014, Issue 12, Pages 153–159 (Mi at14168)  

This article is cited in 3 scientific papers (total in 3 papers)

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Optimization of processes in a spin chain

V. I. Gurman, I. V. Rasina

Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalesskii, Russia

Abstract: There are considered the problems of optimal excitation transfer in spin chains on the base of Shrödinger equation for different types of Hamiltonians containing linear control. Exact analytic solutions for the Landau–Zener model and like $2$-spin systems are obtained via double transformation to derived system known from the theory of degenerate problems. An approach to application of these solutions for the investigation of multi-spin chains is proposed.

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English version:
Automation and Remote Control, 2014, 75:12, 2212–2216

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Presented by the member of Editorial Board: Е. Я. Рубинович

Received: 07.04.2014

Citation: V. I. Gurman, I. V. Rasina, “Optimization of processes in a spin chain”, Avtomat. i Telemekh., 2014, no. 12, 153–159; Autom. Remote Control, 75:12 (2014), 2212–2216

Citation in format AMSBIB
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\by V.~I.~Gurman, I.~V.~Rasina
\paper Optimization of processes in a~spin chain
\jour Avtomat. i Telemekh.
\yr 2014
\issue 12
\pages 153--159
\mathnet{http://mi.mathnet.ru/at14168}
\transl
\jour Autom. Remote Control
\yr 2014
\vol 75
\issue 12
\pages 2212--2216
\crossref{https://doi.org/10.1134/S0005117914120108}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919339869}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. I. Gurman, “O protsessakh upravleniya v sistemakh vzaimodeistvuyuschikh spinov”, Programmnye sistemy: teoriya i prilozheniya, 6:2 (2015), 119–127  mathnet
    2. V. I. Gurman, I. V. Rasina, “Turnpike solutions in the problem of excitation transfer along a spin chain”, Programmnye sistemy: teoriya i prilozheniya, 7:1 (2016), 3–13  mathnet
    3. Rasina I.V. Trushkova E.A. Baturina O.V. Bulatov A.V. Guseva I.S., “Development and applications of Krotov method of global control improvement”, International Conference of Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015) (Rhodes, Greece, 22–28 September 2015), AIP Conference Proceedings, 1738, ed. Simos T. Tsitouras C., Amer Inst Physics, 2016, 400009  crossref  mathscinet  isi  scopus
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