NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2017, 8 (1), P. 85–91
Fast-forward of standard dynamics with use of electromagnetic field
G. Babajanova – Faculty of Physics, National University of Uzbekistan, Vuzgorodok, Tashkent 100174, Uzbekistan; gobabajanova@gmail.com
K. Nakamura – Faculty of Physics, National University of Uzbekistan, Vuzgorodok, Tashkent 100174, Uzbekistan; Department of Applied Physics, Osaka City University, Sumiyoshi-ku, Osaka 558-858, Japan
We introduce Khujakulov and Nakamura’s scheme for the exact fast-forwarding of standard quantum dynamics for a charged particle. The idea allows the acceleration of both amplitude and phase of the wave function throughout the fast-forwarding time range. Firstly we shall apply the proposed method to 1-D free wave packet dynamics and obtain the electromagnetic field to ensure its rapid propagation and diffusion. Then we proceed to study 1-D quantum tunneling phenomenon, namely a rapid penetration of wave function through a delta-function type barrier. We elucidate the distribution of the tunneling current density to show the remarkable enhancement of the tunneling rate (tunneling power) due the fast-forwarding. We introduce two types of time-magnification factors and confirm the stability of fast-forward against the variation of such factors.
Keywords: acceleration of standard dynamics, free wave packets, quantum tunneling.
PACS 03.65.Ge, 03.65.Vf
DOI 10.17586/2220-8054-2017-8-1-85-91