A second-order finite volume scheme for three dimensional truncated pyramidal quantum dot

DOI10.1016/j.cpc.2005.10.012zbMath1196.81078OpenAlexW1979526268MaRDI QIDQ709893

Jia-Chuan Jang, Tsung-Min Hwang, Wei-Chung Wang

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2005.10.012

zbMATH Keywords

second-order convergenceSchrödinger equationwave functionsnumerical simulationsfinite volume schemeenergy levelsthree dimensional truncated pyramidal quantum dot

Mathematics Subject Classification ID

Computational methods for problems pertaining to quantum theory (81-08) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (5)

A Two-Grid Finite-Volume Method for the Schrodinger Equation ⋮ A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for polynomial eigenvalue problems in quantum dot simulation ⋮ Convergence of finite volume scheme for a three-dimensional Poisson equation ⋮ KANTBP 2.0: new version of a program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach ⋮ Symbolic-Numerical Algorithms for Solving Parabolic Quantum Well Problem with Hydrogen-Like Impurity

Cites Work

• Numerical simulation of three dimensional pyramid quantum dot
• Calculating modes of quantum wire and dot systems using a finite differencing technique
• Numerical methods for semiconductor heterostructures with band nonparabolicity
• Energy states of vertically aligned quantum dot array with nonparabolic effective mass
• Jacobi–Davidson methods for cubic eigenvalue problems
• Computer simulation of electron energy levels for different shape InAs/GaAs semiconductor quantum dots

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