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Volume 26 - ICOP & ICPET 2020
ICOP & ICPET _ INPC _ ICOFS 2020, 26 - ICOP & ICPET 2020: 349-352 |
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Zakeri Z, Lavaei L, Solaimani M, Trohid S A A. Investigation of wave packet propagation in the fractional, conventional and nonlinear quantum mechanics formalism. ICOP & ICPET _ INPC _ ICOFS 2020; 26 :349-352
URL: http://opsi.ir/article-1-2055-en.html
URL: http://opsi.ir/article-1-2055-en.html
1- Department of Physics, Hamedan Branch, Islamic Azad university, Hamedan, Iran
2- Department of Physics, Qom University of Technology, Qom, Iran
2- Department of Physics, Qom University of Technology, Qom, Iran
Abstract: (1794 Views)
In this paper we study the transfer of a Gaussian wave packet through a rectangular quantum barrier in the fractional quantum mechanics formalism. We investigate the reflection, trapping and transmission coefficients of a moving Gaussian wave packet as a function of parameter when the product of barrier height V0 and barrier width is constant. In order to solve the Schrödinger equation we use the finite difference method and try to compare the wave packet propagation in three fractional, linear and nonlinear systems. In this paper we find that the transport phenomenon is very different in the fractional medium compared with the linear system. For example, in our study the trapping occurs only in the fractional medium.
Keywords: fractional Schrödinger equation, reflection coefficient, transmission coefficient, trapping coefficient, wave packet propagation.
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