Numerical Exploration of Isolated Gaas-Algaas Quantum Well
暫譯: 孤立GaAs-AlGaAs量子井的數值探索
Chowdhury, Sujaul, Talukder, Urmi
- 出版商: Springer
- 出版日期: 2025-04-24
- 售價: $2,160
- 貴賓價: 9.5 折 $2,052
- 語言: 英文
- 頁數: 91
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031538188
- ISBN-13: 9783031538186
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相關分類:
量子 Quantum
海外代購書籍(需單獨結帳)
相關主題
商品描述
This book begins with the eigenvalue equation of energy and presents calculation of the energy spectrum of GaAs-AlGaAs Quantum Well using finite difference method and knowledge of potential energy profile, without using expressions for eigenfunctions, continuity of eigenfunctions, or their spatial derivatives at the two abrupt potential steps. The authors find that the results are almost the same as those obtained by solving numerically using regula falsi method, and transcendental equations that are obeyed by the energy levels, where the transcendental equations are obtained by requiring continuity of eigenfunctions and of their spatial derivatives at the two potential steps. Thus, this book confirms that it is possible to numerically calculate the energy spectrum of Quantum Well by the finite difference method when it is not correct or when it is not possible to use continuity of eigenfunctions and their spatial derivatives at the two abrupt potential steps. The authors also show that it is possible to use the finite difference method in cases where the potential steps are non-abrupt. The book demonstrates this by calculating the energy spectrum of isolated parabolic Quantum Well of finite depth using finite difference method.
In addition, this book:
- Presents innovative research on alternative methods of calculating the energy spectrum of GaAs-AlGaAs Quantum Well
- Includes confirmation of the authors' results by comparing them to the standard calculation techniques
- Highlights the opportunities for further use of the finite difference method in nanostructure physics
商品描述(中文翻譯)
本書以能量的特徵值方程開始，並利用有限差分法及潛能能量輪廓的知識計算GaAs-AlGaAs量子井的能量譜，而不使用特徵函數的表達式、特徵函數的連續性或其在兩個突變潛能階梯上的空間導數。作者發現，這些結果幾乎與使用偽根法（regula falsi method）數值求解以及遵循能量水平的超越方程所獲得的結果相同，這些超越方程是通過要求特徵函數及其空間導數在兩個潛能階梯上的連續性而獲得的。因此，本書確認在不正確或無法使用特徵函數及其空間導數在兩個突變潛能階梯上的連續性時，仍然可以通過有限差分法數值計算量子井的能量譜。作者還展示了在潛能階梯不突變的情況下使用有限差分法的可能性。本書通過計算有限深度的孤立拋物量子井的能量譜來證明這一點。
此外，本書：
- 提出了計算GaAs-AlGaAs量子井能量譜的替代方法的創新研究
- 包含了通過將作者的結果與標準計算技術進行比較來確認的內容
- 突出了在納米結構物理中進一步使用有限差分法的機會
作者簡介
Sujaul Chowdhury, Ph.D., is a Professor in the Department of Physics at Shahjalal University of Science and Technology. He received his B.Sc. and M.Sc. in Physics from Shahjalal University of Science and Technology, before earning his Ph.D. at The University of Glasgow in 2001. He is the author of many books, including Monte Carlo Methods: A Hands-On Computational Introduction Utilizing Excel; Monte Carlo Methods Utilizing Mathematica(R) Applications in Inverse Transform and Acceptance-Rejection Sampling; Numerical Exploration of Fourier Transform and Fourier Series: The Power Spectrum of Driven Damped Oscillators; and Newtonian Mechanics.
Urmi Talukder is an M.S. student in Department of Physics at Shahjalal University of Science and Technology.
作者簡介(中文翻譯)
Sujaul Chowdhury 博士是沙哈賈拉科技大學物理系的教授。他在沙哈賈拉科技大學獲得物理學學士和碩士學位，並於2001年在格拉斯哥大學獲得博士學位。他是多本書籍的作者，包括《Monte Carlo Methods: A Hands-On Computational Introduction Utilizing Excel》、《Monte Carlo Methods Utilizing Mathematica(R) Applications in Inverse Transform and Acceptance-Rejection Sampling》、《Numerical Exploration of Fourier Transform and Fourier Series: The Power Spectrum of Driven Damped Oscillators》和《Newtonian Mechanics》。
Urmi Talukder 是沙哈賈拉科技大學物理系的碩士生。
