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研究生： 張家銓
Jang, Jia-Chuan
論文名稱： 截斷金字塔型量子點的能階與波函數計算
Computation of Energy Levels and Wavefunctions in Truncated Pyramid Quantum Dots
指導教授： 王辰樹
Wang, Chern-Shuh
學位類別： 碩士
Master
系所名稱： 理學院 - 數學系應用數學碩博士班
Department of Mathematics
論文出版年： 2005
畢業學年度： 93
語文別： 英文
論文頁數： 50
中文關鍵詞： 截斷金字塔型量子點
外文關鍵詞： Truncated Pyramid Quantum Dots
相關次數： 點閱：105  下載：2 
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    • 我們用簡單和有效的數值方法去解三維的截斷金字塔型量子點。

    We present a simple and efficient numerical method to simulate the three
    dimensional truncated pyramid quantum dot heterostructure.

    Abstract(1) (1) Introduction(2) (2) The discretization of the Schr¨odinger equation(4) (2.1) Finite difference for the points on the left and right hypotenuses(5) (2.1.1) Left hypotenuse(5) (2.1.2) Right hypotenuse(8) (2.2) Finite difference for the points on the (upper) bottom hypotenuses(10) (2.2.1) Bottom hypotenuse(10) (2.2.2) Upper bottom hypotenuse(12) (2.3) Corner mesh point(13) (2.3.1) Upper-right corner(13) (2.3.2) Upper-left corner(15) (2.3.3) left corner(16) (2.3.4) Right corner(18) (3) 3D finite difference scheme for the truncated pyramid quantum dots(19) (3.1) Points on the western surface of the truncated pyramid(19) (3.2) Points on the bottom surface of the truncated pyramid(20) (3.3) Points on the northwestern edge of the truncated pyramid(22) (3.4) Points on the eastern edge at the bottom of the truncated pyramid(23) (3.5) The southwestern corner at the bottom of the truncated pyramid(24) (3.6) The northwestern corner at the upper bottom of the truncated pyramid(25) (3.7) Points on the northern edge at the upper bottom of the truncated pyramid　　 (27) (4) Numerical results(36) (5) Conclusion(39) Acknowledgments(39)

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