TY - JOUR

T1 - Wave packets of bound states of a dirac field on a material plane

AU - Wegner, F. J.

AU - Pismak, Yu M.

PY - 2019/9

Y1 - 2019/9

N2 - 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.

AB - 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.

KW - bound Dirac field

KW - interaction of Dirac field with matter

KW - FRAMEWORK

UR - http://www.scopus.com/inward/record.url?scp=85073206497&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/wave-packets-bound-states-dirac-field-material-plane

U2 - 10.1134/S0040577919090125

DO - 10.1134/S0040577919090125

M3 - Article

AN - SCOPUS:85073206497

VL - 200

SP - 1401

EP - 1412

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

SN - 0040-5779

IS - 3

ER -