電腦輔助推導Kronig-Penney模型及量子井的模擬

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姓名	夏浚清(Chun-Ching Hisa) 查詢紙本館藏	畢業系所	電機工程學系
論文名稱	電腦輔助推導Kronig-Penney模型及量子井的模擬 (Computer-Aided Kronig-Penney Model Derivation and Multiple Quantum Well Simulation)
檔案	[Endnote RIS 格式] [Bibtex 格式] [相關文章] [文章引用] [完整記錄] [館藏目錄] [檢視] [下載] 本電子論文使用權限為同意立即開放。已達開放權限電子全文僅授權使用者為學術研究之目的，進行個人非營利性質之檢索、閱讀、列印。請遵守中華民國著作權法之相關規定，切勿任意重製、散佈、改作、轉貼、播送，以免觸法。
摘要(中)	本論文研究用等效電路法模擬量子力學系統。推導Kronig-Penney公式過程十分冗長，為了解決這類問題，我們提出人機互動電腦輔助推導的概念。在本文的最後，我們會討論到量子井系統。過程中我們發現Kronig-Penney模型似乎有一些問題存在。我們研究出另一個模型去改正這個問題。
摘要(英)	In this thesis, we will use the equivalent-circuit method to simulate the quantum mechanical systems. It is tedious to derive the formulation of the Kronig-Penney model. In order to solve the problem more effectively, we propose the computer-aid derivation which is based on the interaction between human and computer. Finally, we introduce the quantum well system. We find the problem in the Kronig-Penney model. We search new model for the potential function to improve the problem.
關鍵字(中)	★ 能帶 ★ 量子井	關鍵字(英)	★ bandgap ★ Quantum Well Simulation
論文目次	Contents 1. Introduction……………………………………………1 2. Solving Schrödinger equation by equivalent circuit………….....3 2.1 Introduction………………………………………………3 2.2 The Schrodinger equation in the Equivalent-Circuit Model………4 2.3 Example for infinite quantum well…………………………………8 3. Computer-aided derivation of the analytic Kronig-Penny model…………14 3.1 Introduction…………………………………………..…14 3.2 The Kronig-Penny model ……15 3.3 The evolution of the Kronig-Penny………………21 3.4 Summary…………27 4. Finding the allowed energy bandwidth in confined multiple QW system.29 4.1 The E vs. k diagram in a one-dimensional crystal…..…………..……29 4.2 Simulation of equivalent-circuit method in the confined QW………..30 4.3 The parabolic model of the QW…………………………………..………..36 4.4 Summary……………………………………………………………42 5. Conclusion…………………………43 List Of Reference…………………………………………………………….44
參考文獻	[1] C. H. Kao, “An equivalent circuit model for decoupled method in semiconductor device simulation,” M. S. Thesis, Institute of EE, National Central University, Taiwan, Republic of China, Jun. 2002. [2] C. L. Teng, “An equivalent circuit approach to mixed-level device and circuit simulation,” M. S. Thesis, Institute of EE, National Central University, Taiwan, Republic of China, Jun 1997. [3] J. P. Mckelvey, Solid State and Semiconductor Physics, Robert E. Kreger, Inc., 1966 [4] D. A. Neamen, Semiconductor Physics & Devices, Chapter 2, McGraw-Hill, Inc., 2003. [5] A. K. Ghatak, K. Thyagarajan, M.R. Shenoy “A novel numerical technique for solving the one-dimensional Schroedinger equation using matrix approach-application to quantum well structures,” IEEE Journal on Quantum Electronics, vol.24, p.1524 – 1531, 1988. [6] B. Aethur, Concepts of modern physics, McGraw-Hill, Inc., McGraw-Hill, Inc., 2003. [7] N. Zettli, Quantum mechanics : concepts and applications, New York : Wiley, 2001. [8] H. Craig Casey, jr. Devices For Integrated Circuits ,Chapter2, John Wiley & Sons, Inc. 1998.
指導教授	蔡矅聰(Yao-Tsung Tsai)	審核日期	2006-6-25
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博碩士論文 93521087 詳細資訊