Accuracy balancing for the finite-difference-based solution of the discrete Wigner transport equation

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• 作者：Kyoung-Youm Kim ; Saehwa Kim ; Ting-wei Tang
• 关键词：Wigner function ; Quantum transport ; Numerical analysis ; Resonant tunneling diodes
• 刊名：Journal of Computational Electronics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：16
• 期：1
• 页码：148-154
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Appl.Mathematics/Computational Methods of Engineering; Electrical Engineering; Theoretical, Mathematical and Computational Physics; Optical and Electronic Materials; Mechanical Engineering;
• 出版者：Springer US
• ISSN：1572-8137
• 卷排序：16

文摘

The Wigner transport equation based on the Wigner function which is defined on the phase space describes two actions in orthogonal directions of the phase space: movement (diffusion) in position space and transition in momentum space. Here, we show that for the proper analysis of a resonant tunneling diode using the finite-difference-based solution of the Wigner transport equation, the degree of numerical accuracy in the calculation of the movement in position space should be balanced with that in the evaluation of the transition in momentum space.