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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 186, Number 1, Pages 27–50
DOI: https://doi.org/10.4213/tmf8981
(Mi tmf8981)
 

This article is cited in 8 scientific papers (total in 8 papers)

Metastable states of a composite system tunneling through repulsive barriers

A. A. Guseva, S. I. Vinitskya, O. Chuluunbaatarab, V. L. Derbovc, A. Gozdzd, P. M. Krasovitskiie

a Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
b Mongolian National University, Ulaanbaatar, Mongolia
c Saratov State University, Saratov, Russia
d Maria Curie-Skłodowska University, Lublin, Poland
e Institute of Nuclear Physics, Almaty, Kazakhstan
References:
Abstract: We consider a method for solving the problem of quantum tunneling through repulsive potential barriers for a composite system consisting of several identical particles coupled via pair oscillator-type potentials in the oscillator symmetrized-coordinate representation. We confirm the efficiency of the proposed approach by calculating complex energy values and analyzing metastable states of composite systems of three, four, and five identical particles on a line, which leads to the effect of quantum transparency of the repulsive barriers.
Keywords: quantum tunneling, system of identical particles, symmetrized-coordinate representation, harmonic oscillator basis, complex energy value, metastable state, quantum transparency.
English version:
Theoretical and Mathematical Physics, 2016, Volume 186, Issue 1, Pages 21–40
DOI: https://doi.org/10.1134/S0040577916010037
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Gusev, S. I. Vinitsky, O. Chuluunbaatar, V. L. Derbov, A. Gozdz, P. M. Krasovitskii, “Metastable states of a composite system tunneling through repulsive barriers”, TMF, 186:1 (2016), 27–50; Theoret. and Math. Phys., 186:1 (2016), 21–40
Citation in format AMSBIB
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\paper Metastable states of a~composite system tunneling through repulsive barriers
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\vol 186
\issue 1
\pages 27--50
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\jour Theoret. and Math. Phys.
\yr 2016
\vol 186
\issue 1
\pages 21--40
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Linking options:
  • https://www.mathnet.ru/eng/tmf8981
  • https://doi.org/10.4213/tmf8981
  • https://www.mathnet.ru/eng/tmf/v186/i1/p27
  • This publication is cited in the following 8 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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    Abstract page:450
    Full-text PDF :185
    References:64
    First page:28
     
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