Space-time evolution of Dirac wave packets
arXiv:1007.1566 · doi:10.1103/PhysRevA.82.052115
Abstract
In this work we study the dynamics of free 3D relativistic Gaussian wave packets with different spin polarization. We analyze the connection between the symmetry of initial state and the dynamical characteristics of moving particle. The corresponding solutions of Dirac equation having different types of symmetry were evaluated analytically and numerically and after that the electron probability densities, as well as, the spin densities were visualized. The average values of velocity of the packet center and the average spin were calculated analytically, and the parameters of transient Zitterbewegung in different directions were obtained. These results can be useful for the interpretation of future experiments with trapped ions.
10 pages, 7 figures
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- The long-term cyclotron dynamics of relativistic wave packets: spontaneous collapse and revival
- Quantum simulation of quantum relativistic diffusion via quantum walks
- Time Evolution of Electron Waves in Graphene Superlattices
- Topologically protected wave packets and quantum rings in silicene
- Classical and quantum dynamics of a kicked relativistic particle in a box
- Relativistic Remnants of Non-Relativistic Electrons