Dynamics and localization of dressed Schrodinger and Relativistic Dirac electron states in graphene
POSTER
Abstract
We have investigated the dynamics of single particle in a space-localized but periodically varying time-dependent potential $V(x,t)=\pm V_0 a \delta(x)\cos(\omega t)$ with frequency $\omega$.
This potential may be applied to either Schr\"odinger or relativistic Dirac particles. Both numerical and semi-analytic solutions have been obtained for specific initial conditions for the probability
distribution of the particle originally around a localization center. For negative potential, we solve a bound-state problem, whereas for positive potential, the particle is scattered from a time-dependent potential barrier. From a physical point of view, this problem is relevant to space-localized electron-dressed states for a Dirac particle interacting with linearly-polarized light.
This potential may be applied to either Schr\"odinger or relativistic Dirac particles. Both numerical and semi-analytic solutions have been obtained for specific initial conditions for the probability
distribution of the particle originally around a localization center. For negative potential, we solve a bound-state problem, whereas for positive potential, the particle is scattered from a time-dependent potential barrier. From a physical point of view, this problem is relevant to space-localized electron-dressed states for a Dirac particle interacting with linearly-polarized light.
Presenters
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Godfrey Gumbs
- Physics and Astronomy, Hunter college
- Hunter college, CUNY
- Physics and astronomy, Hunter College-City University of New York
- Physics and Astronomy, Hunter College, CUNY
- Department of Physics & Astronomy, Hunter College of CUNY
- Hunter College, CUNY
- Department of Physics and Astronomy, Hunter College of the City University of New York
- Department of Physics and Astronomy, Hunter College, City University of New York