Fixed-point methods for a semiconductor quantum dot model

Tsung Min Hwang, Wen Wei Lin, Jinn Liang Liu, Weichung Wang

研究成果: 雜誌貢獻期刊論文同行評審

3 引文 斯高帕斯(Scopus)

摘要

This paper presents various fixed-point methods for computing the ground state energy and its associated wave function of a semiconductor quantum dot model. The discretization of the three-dimensional Schrödinger equation leads to a large-scale cubic matrix polynomial eigenvalue problem for which the desired eigenvalue is embedded in the interior of the spectrum. The cubic problem is reformulated in several forms so that the desired eigenpair becomes a fixed point of the new formulations. Several algorithms are then proposed for solving the fixed-point problem. Numerical results show that the simple fixed-point method with acceleration schemes can be very efficient and stable.

原文英語
頁(從 - 到)519-533
頁數15
期刊Mathematical and Computer Modelling
40
發行號5-6
DOIs
出版狀態已發佈 - 2004 九月

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computer Science Applications

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