王偉仲 教授 (臺大數學系)

Large-Scale Polynomial Eigenvalue Problems Arising in Simulations of Quantum Dots

Abstract:
Numerical simulation is a useful tool for investigating energy spectrum and wave functions of various quantum dot structures. Schrodinger's equations in three dimensions are first discretized by novel second order finite difference and finite volume schemes. Jacobi-Davidson type algorithms are then proposed to compute interior eigenpairs of the resulting polynomial eigenvalue problems. Computational results demonstrate efficiency and robustness of the proposed schemes and predict physical phenomena.

2008 年 11 月 21 日
14:30~15:30

RM111, New Physics Building