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PHYSICS
Fast-forward of standard dynamics with use of electromagnetic field
G. Babajanovaa, K. Nakamurab a Faculty of Physics, National University of Uzbekistan,
Vuzgorodok, Tashkent 100174, Uzbekistan
b Department of Applied Physics, Osaka City University,
Sumiyoshiku, Osaka 558858, Japan
Аннотация:
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.
Ключевые слова:
acceleration of standard dynamics, free wave packets, quantum tunneling.
Поступила в редакцию: 14.07.2016 Исправленный вариант: 02.09.2016
Образец цитирования:
G. Babajanova, K. Nakamura, “Fast-forward of standard dynamics with use of electromagnetic field”, Наносистемы: физика, химия, математика, 8:1 (2017), 85–91
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nano13 https://www.mathnet.ru/rus/nano/v8/i1/p85
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