基于有限元法求解Schrödinger-Poisson方程的量子态空间电荷限制电流

2007 IEEE International Vacuum Electronics Conference Pub Date : 2007-05-15 DOI:10.1109/IVELEC.2007.4283366

Chieh Chang, Ming-Chieh Lin

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引用次数: 0

摘要

Child-Langmuir定律给出了最大电子电流，即空间电荷限制电流。在Lau et ah之前的工作中，他们使用Wentzel-Kramers-Brillouin-Jefferys方法将Child和Langmuir的经典工作扩展到量子状态。本文基于有限元方法，通过求解薛定谔-泊松方程，定量地研究了量子状态下的空间电荷限制电流。

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Space-Charge-Limited Current in Quantum Regime by Solving the Schrödinger-Poisson Equation Based on Finite Element Method

The Child-Langmuir law gives the maximum electron current, known as the space-charge- limited current. In a previous work of Lau et ah, they extended the classical work of Child and Langmuir to the quantum regime by using the Wentzel-Kramers-Brillouin-Jefferys method. Here, we quantitatively investigate the space-charge-limited current in quantum regime by solving the Schrodinger-Poisson equation based on finite element method.

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2007 IEEE International Vacuum Electronics Conference

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