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International Conference on Distributed Computer and Communication Networks

DCCN 2016: Distributed Computer and Communication Networks pp 525–537Cite as

The Coupled-Channel Method for Modelling Quantum Transmission of Composite Systems

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 678))

Abstract

The description of quantum transmission of composite systems of barriers or wells using the coupled-channel method is presented. In this approach the multichannel scattering problem for the Schrödinger equation is reduced to a set of coupled second-order ordinary differential equations with the boundary conditions of the third type and solved using the finite element method. The efficiency of the proposed approach is demonstrated by the example of analyzing metastable states that appear in composite quantum systems tunnelling through barriers and wells and give rise to the quantum transparency and total reflection effects.

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References

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Author information

Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Russia

    S. I. Vinitsky, A. A. Gusev & O. Chuluunbaatar

  2. RUDN University (Peoples’ Friendship University of Russia), 6 Miklukho-Maklaya Street, Moscow, 117198, Russia

    S. I. Vinitsky

  3. Institute of Physics, University of Maria Curie-Sklodowska, Lublin, Poland

    A. Góźdź

  4. Saratov State University, Saratov, Russia

    V. L. Derbov

  5. Institue of Mathematics, National University of Mongolia, University Street, Sukhbaatar District, Ulaanbaatar, Mongolia

    O. Chuluunbaatar

Authors
  1. S. I. Vinitsky
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  2. A. A. Gusev
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  3. O. Chuluunbaatar
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  4. A. Góźdź
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  5. V. L. Derbov
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Corresponding author

Correspondence to S. I. Vinitsky .

Editor information

Editors and Affiliations

  1. V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    Vladimir M. Vishnevskiy

  2. RUDN University , Moscow, Russia

    Konstantin E. Samouylov

  3. V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    Dmitry V. Kozyrev

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Vinitsky, S.I., Gusev, A.A., Chuluunbaatar, O., Góźdź, A., Derbov, V.L. (2016). The Coupled-Channel Method for Modelling Quantum Transmission of Composite Systems. In: Vishnevskiy, V., Samouylov, K., Kozyrev, D. (eds) Distributed Computer and Communication Networks. DCCN 2016. Communications in Computer and Information Science, vol 678. Springer, Cham. https://doi.org/10.1007/978-3-319-51917-3_45

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  • DOI: https://doi.org/10.1007/978-3-319-51917-3_45

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-51916-6

  • Online ISBN: 978-3-319-51917-3

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