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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 200, Number 3, Pages 553–565
DOI: https://doi.org/10.4213/tmf9672 (Mi tmf9672) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Wave packets of bound states of a Dirac field on a material plane

F. J. Wegnera, Yu. M. Pismakb

a Institut für Theoretische Physik, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany
b St. Petersburg State University, St. Peterburg, Russia
Full-text PDF (394 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf9672
Abstract: Pismak and Shukhobodskaia recently proposed a model of a Dirac particle interacting with a material plane. Depending on the interaction constants, the Dirac particle can have bound states moving parallel to the plane and decaying exponentially perpendicular to the plane. Moreover, the waves on the two sides of the plane can move with different velocities. Although states with sharp momenta parallel to the plane do not have currents perpendicular to it, it turns out that the wave packets considered here do have a weak current component in this direction, which keeps the wave packets above and below the plane together.
Keywords: bound Dirac field, interaction of Dirac field with matter.
Funding agency Grant number
Russian Foundation for Basic Research 19-02-00983_а
The research of F. J. Wegner is supported within the Protocol on Academic Exchange between St. Petersburg State University and Ruprecht-Karls University Heidelberg.
The research of Yu. M. Pismak is supported by the Russian Foundation for Basic Research (Grant No. 19-02-00983_a).
Received: 12.12.2018
Revised: 14.03.2019
English version:
Theoretical and Mathematical Physics, 2019, Volume 200, Issue 3, Pages 1401–1412
DOI: https://doi.org/10.1134/S0040577919090125
Bibliographic databases:
Document Type: Article
PACS: 03.65Ge, 03.65Pm
Language: Russian
Citation: F. J. Wegner, Yu. M. Pismak, “Wave packets of bound states of a Dirac field on a material plane”, TMF, 200:3 (2019), 553–565; Theoret. and Math. Phys., 200:3 (2019), 1401–1412
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    1. Yu. Pismak, O. Shakhova, “Neutrino oscillations in the model of interaction of spinor fields with zero-range potential concentrated on a plane”, Symmetry-Basel, 13:11 (2021), 2180  crossref  isi  scopus
    2. Yu. M. Pismak, O. Yu. Shakhova, “Interaction of massless Dirac field with 2d-material in a model constructed in the framework of Symanzik approach”, Phys. Part. Nuclei, 51:4 (2020), 578–582  crossref  isi
    3. Yu. M. Pismak, D. Shukhobodskaia, “Bound state in a model of electromagnetic field interacting with a material plan”, Mod. Phys. Lett. A, 35:21 (2020), 2050170  crossref  mathscinet  zmath  isi
    4. Yu. M. Pismak, D. Melikhov, I. Volobuev, “Zero-range potential in the model of the spinor field interacting with a material plane: conditions for transparency of the plane to Dirac particles”, EPJ Web Conf., 222 (2019), 03026  crossref
    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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