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Paper detail

Kicked Dirac particle in a box

We study quantum dynamics of a kicked relativistic spin-half particle in a one dimensional box. Time-dependence of the average kinetic energy and evolution of the wave packet are explored. Kicking potential is introduced as the Lorentz-scalar, i.e., through the mass-term in the Dirac equation. It is found that depending on the values of the kicking parameters E(t) can be periodic, monotonically growing and non-periodic function of time. Particle transport in the system is studied by considering spatio-temporal evolution of the Gaussian wave packet.Splitting of the packet into two symmetric parts and restoration of the profile of the packet is found.

preprint2013arXivOpen access
V. E. EshniyazovD. U. MatrasulovJ. R. Yusupov
cond-mat.mes-hallmath-phmath.MPnlin.CDquant-ph
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V. E. EshniyazovD. U. MatrasulovJ. R. Yusupov

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