Numerical computation for pyramid quantum dot

Tsung-Min Hwang, Wen Wei Lin, Wei Cheng Wang, Weichung Wang

研究成果: 會議貢獻類型

摘要

We present a simple and efficient numerical method for the simulation of the three-dimensional pyramid quantum dot which is placed in a cuboid box. The corresponding Schrödinger equation is discretized using the finite volume method with uniform mesh in Cartesian coordinates and the interface conditions are incorporated into the discretization scheme without explicitly enforcing them. The resulting matrix eigenvalue problem is then solved using a Jacobi-Davidson based method. Both linear and quintic polynomial eigenvalue problems are simulated. The scheme is 2nd order accurate and converges extremely fast. The superior performance is a combined effect of the uniform spacing of the grids and the nice structure of the resulting matrices. We have successfully simulated a variety of test problems, including a quintic polynomial eigenvalue problem with more than 32 million variables.

原文英語
出版狀態已發佈 - 2004 十二月 1
事件European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla, 芬兰
持續時間: 2004 七月 242004 七月 28

其他

其他European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
國家芬兰
城市Jyvaskyla
期間04/7/2404/7/28

ASJC Scopus subject areas

  • Artificial Intelligence
  • Applied Mathematics

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  • 引用此

    Hwang, T-M., Lin, W. W., Wang, W. C., & Wang, W. (2004). Numerical computation for pyramid quantum dot. 論文發表於 European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, Jyvaskyla, 芬兰.