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不規則形狀之三維軸對稱量子點的能階分布研究
Thesis

不規則形狀之三維軸對稱量子點的能階分布研究

劉懿嫻
Masters, National Tsing Hua University
2003

Abstract

座標轉換系統解特徵值特徵向量量子能階 curvilinear coordinate systeminterface problemquantum dotwave functionenergy statesJacobi-Davidson method
AbstractWe present a simple and efficient numerical method for calculating bound state energies and their corresponding wave function of a axisymmetric 3D QD model. The Schrodinger equation of the model is discretized by using a body fitting curvilinear coordinate system. The result matrix is symmetric and positive definite. The resulting matrix eigenvalue problem is then solved by using a Jacobi-Davidson based method. The scheme is 2nd order accurate and converges extremely fast.

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