TY  - BOOK
AU  - Chowdhury,Sujaul
AU  - Talukder,Urmi
ED  - SpringerLink (Online service)
TI  - Numerical Exploration of Isolated GaAs-AlGaAs Quantum Well
T2  - Synthesis Lectures on Engineering, Science, and Technology,
SN  - 9783031538162
AV  - QC610.9-611.8 
PY  - 2024///
CY  - Cham
PB  - Springer Nature Switzerland, Imprint: Springer
KW  - Semiconductors
KW  - Nanoscience
KW  - Nanotechnology
KW  - Mathematical physics
KW  - Physics
KW  - Nanophysics
KW  - Nanometrology
KW  - Mathematical Methods in Physics
KW  - Applied and Technical Physics
KW  - Nanoengineering
N1  - Background on Microelectronics -- Background on Semiconductor Nanostructure Physics -- Numerical Calculation of Energy Spectrum of GaAs-AlGaAs Quantum Well Having Abrupt Potential Steps Using Regula Falsi Method -- Numerical calculation of Energy Spectrum of GaAs-AlGaAs Quantum Well Having Abrupt Potential Steps Using Finite Difference Method -- Numerical Calculation of Energy Spectrum of Parabolic Quantum Well of Finite Depth Using Finite Difference Method
N2  - 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
UR  - https://doi.org/10.1007/978-3-031-53816-2
ER  -