04263nam a22005895i 4500 978-3-031-53816-2 DE-He213 20251030112003.0 cr nn 008mamaa 240422s2024 sz | s |||| 0|eng d 9783031538162 978-3-031-53816-2 10.1007/978-3-031-53816-2 doi QC610.9-611.8 TJFD5 bicssc SCI077000 bisacsh TJFD thema Chowdhury, Sujaul. author. aut http://id.loc.gov/vocabulary/relators/aut 65556 Numerical Exploration of Isolated GaAs-AlGaAs Quantum Well [electronic resource] / by Sujaul Chowdhury, Urmi Talukder. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. VIII, 91 p. 69 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Synthesis Lectures on Engineering, Science, and Technology, 2690-0327 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. 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. Semiconductors. 69883 Nanoscience. 65329 Nanotechnology. Mathematical physics. Physics. 61293 Semiconductors. 69883 Nanophysics. 67377 Nanometrology. 75490 Mathematical Methods in Physics. 70877 Applied and Technical Physics. 66108 Nanoengineering. Talukder, Urmi. author. aut http://id.loc.gov/vocabulary/relators/aut 75491 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031538155 Printed edition: 9783031538179 Printed edition: 9783031538186 Synthesis Lectures on Engineering, Science, and Technology, 2690-0327 https://doi.org/10.1007/978-3-031-53816-2 ZDB-2-SXSC 59264 59264