|Table of Contents|

Wave Packet Dynamics of Particles in Potential Barriers(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2013年03期
Page:
37-41
Research Field:
物理学
Publishing date:

Info

Title:
Wave Packet Dynamics of Particles in Potential Barriers
Author(s):
Cao LinaLiu Hong
School of Physics and Technology,Nanjing Normal University,Nanjing 210023,China
Keywords:
Schrödinger equationwave packetrecursive iterativetransmission
PACS:
O413.1
DOI:
-
Abstract:
We use Gauss wave packet to describe the dynamics of charged particle in a limited two-dimensional electron gas by sloving time-dependent Schrödinger equation.The particle character and wave character of wave packet with different energy are illustrated by the transmission of wave packet.In the present work,for different wave packet width the transmission shows different relationship with the input energy.

References:

[1] Rakhimov K Y,Chaves A,Farias G A,et al.Wavepacket scattering of Dirac and Schrodinger particles on potential and magnetic barriers[J].Phys:Conden Matter,2011,23:275 801(1-16).
[2]Chave A,Farias G A,Peeters F M,et al.Wave packet dynamics in semiconductor quantum rings of finite width[J].Physical Review B,2009,80:125 331(1-14).
[3]Chaves A,Covaci L,Rakhimov Kh Yu,et al.Wave-packet dynamics and valley filter in strained graphene[J].Physical Review B,2010,82:205 430(1-11).
[4]Maksimova G M,Demikhovskii V Ya,Frolova E V.Wave packet dynamics in a monolayer graphene[J].Physical Review B,2008,78:235 321(1-7).
[5]Szafran B,Peeters F M.Time-dependent simulations of electron transport through a quantum ring:effect of the Lorentz force[J].Physical Review B,2005,72:165 301(1-8).
[6]Szafran B,Peerers F M.Lorenta-force-induced asymmetry in the Aharonov-Bohm effect in a three-terminal semiconductor quantum ring[J].Europhy Letter,2005,70(6):810-816.
[7]邵和助.Schorodinger方程的数值解法上[D].上海:上海大学理学院物理系,2010:109-110.
[8]曾谨言.量子力学教程[M].2版.北京:科学教育出版社,2008:36-40.
[9]纪坤,陈建平.LU分解分块算法的研究与实现[J].南京师大学报:自然科学版(计算机专辑),2008,31:55-60.
[10]陈建平.LU分解递归算法的研究[J].计算机科学,2004,31(6):141-142.
[11]Watanabe N,Tsukada M.Fast and stable method for simulating quantum electron dynamics[J].Phys Rev E,2000,62:2 914-2 923.

Memo

Memo:
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Last Update: 2013-09-30