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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 94, Number 3, Pages 426–434 (Mi tmf1434)  
This article is cited in 18 scientific papers (total in 18 papers)

Splitting amplitudes of the lowest energy levels of the Schrödinger operator with double-well potential

S. Yu. Dobrokhotova, V. N. Kolokoltsovb

a A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences
b Moscow Institute of Electronic Engineering
Full-text PDF (785 kB) Citations (18)
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Abstract: An analytic method is proposed for calculating the asymptotic splitting of the lowest energy levels of the Schrödinger operator with a symmetric double-well potential. The potential describing a chain of pairwise interacting quantum particles in a common double-well potential is considered as an example. The limit of a large number of particles is investigated.
Received: 09.07.1992
English version:
Theoretical and Mathematical Physics, 1993, Volume 94, Issue 3, Pages 300–305
DOI: https://doi.org/10.1007/BF01017262
Bibliographic databases:
Language: Russian
Citation: S. Yu. Dobrokhotov, V. N. Kolokoltsov, “Splitting amplitudes of the lowest energy levels of the Schrödinger operator with double-well potential”, TMF, 94:3 (1993), 426–434; Theoret. and Math. Phys., 94:3 (1993), 300–305
Citation in format AMSBIB
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\by S.~Yu.~Dobrokhotov, V.~N.~Kolokoltsov
\paper Splitting amplitudes of the lowest energy levels of the Schr\"odinger operator with double-well potential
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\yr 1993
\vol 94
\issue 3
\pages 426--434
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1226223}
\zmath{https://zbmath.org/?q=an:0799.35050}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 94
\issue 3
\pages 300--305
\crossref{https://doi.org/10.1007/BF01017262}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MA71000008}
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  • https://www.mathnet.ru/eng/tmf/v94/i3/p426
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:97
    First page:3
     
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