Geodesic
Fast-forward of standard dynamics with use of electromagnetic field
Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 1, pp. 85-91

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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. 
@article{NANO_2017_8_1_a12,
     author = {G. Babajanova and K. Nakamura},
     title = {Fast-forward of standard dynamics with use of electromagnetic field},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {85--91},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2017_8_1_a12/}
}
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G. Babajanova; K. Nakamura. Fast-forward of standard dynamics with use of electromagnetic field. Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 1, pp. 85-91. http://geodesic.mathdoc.fr/item/NANO_2017_8_1_a12/