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

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 t...

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Hauptverfasser: Wegner, Franz (VerfasserIn) , Pis'mak, Yury Mikhailivich (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 05 October 2019
In: Theoretical and mathematical physics
Year: 2019, Jahrgang: 200, Heft: 3, Pages: 1401-1412
ISSN:1573-9333
DOI:10.1134/S0040577919090125
Online-Zugang:Verlag, Volltext: https://doi.org/10.1134/S0040577919090125
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Verfasserangaben:F.J. Wegner and Yu. M. Pismak

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520 |a 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. 
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