书目名称 | Numerical Exploration of Isolated GaAs-AlGaAs Quantum Well |
编辑 | Sujaul Chowdhury,Urmi Talukder |
视频video | |
概述 | 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 calcu |
丛书名称 | Synthesis Lectures on Engineering, Science, and Technology |
图书封面 |  |
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 showthat 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 |
出版日期 | Book 2024 |
关键词 | Quantum Well; Regula Falsi Method; Finite Difference Method; GaAs-AlGaAs; Numerical; Microelectronics; Sem |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-53816-2 |
isbn_softcover | 978-3-031-53818-6 |
isbn_ebook | 978-3-031-53816-2Series ISSN 2690-0300 Series E-ISSN 2690-0327 |
issn_series | 2690-0300 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |