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TMF, 2016, Volume 186, Number 1, Pages 27–50 (Mi tmf8981)  

This article is cited in 7 scientific papers (total in 7 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

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

DOI: https://doi.org/10.4213/tmf8981

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English version:
Theoretical and Mathematical Physics, 2016, 186:1, 21–40

Bibliographic databases:


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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    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. M. R. A. Shegelski, G. Jones, “_orig Resonant Transmission of a Weakly Bound Molecule Incident Upon a Step Potential”, J. Phys. B-At. Mol. Opt. Phys., 49:16 (2016), 165101  crossref  isi  elib  scopus
    2. S. I. Vinitsky, A. A. Gusev, O. Chuluunbaatar, A. Gozdz, V. L. Derbov, “The coupled-channel method for modelling quantum transmission of composite systems”, Distributed Computer and Communication Networks, DCCN 2016, Communications in Computer and Information Science, 678, eds. V. Vishnevskiy, K. Samouylov, D. Kozyrev, Springer International Publishing Ag, 2016, 525–537  crossref  zmath  isi  scopus
    3. P. Kilcullen, L. Salayka-Ladouceur, K. Malmgren, M. Reid, M. R. A. Shegelski, “One dimensional time-dependent tunnelling of excitons”, Few-Body Syst., 58:2 (2017), UNSP 25  crossref  isi  elib  scopus
    4. M. R. A. Shegelski, L. Salayka-Ladouceur, K. Malmgren, “Transmission and reflection of a molecule with a dipole moment incident upon a circular hole in a two-dimensional conducting sheet”, Eur. J. Phys., 38:1 (2017), 015403  crossref  zmath  isi  elib  scopus
    5. A. A. Gusev, S. I. Vinitsky, O. Chuluunbaatar, V. L. Derbov, A. Gozdz, P. M. Krassovitskiy, “Transmission of clusters consisting of a few identical particles through barriers and wells”, XXIII Nuclear Physics Workshop “Marie and Pierre Curie”: Essential Problems in Nuclear Physics, 2016, Acta Physica Polonica B Proceedings Supplement, 10, no. 1, ed. M. Gozdz, Jagiellonian Univ, 2017, 269–274  crossref  isi  scopus
    6. I. S. Ishmukhamedov, V. S. Melezhik, “Tunneling of two bosonic atoms from a one-dimensional anharmonic trap”, Phys. Rev. A, 95:6 (2017), 062701  crossref  isi  scopus
    7. A. A. Gusev, S. I. Vinitsky, O. Chuluunbaatar, A. Gozdz, V. L. Derbov, P. M. Krassovitskiy, “Adiabatic representation for atomic dimers and trimers in collinear configuration”, Phys. Atom. Nuclei, 81:6 (2018), 945–970  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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