Numerical calculation of the electronic structure for three-dimensional quantum dots

DOI10.1016/j.cpc.2005.12.003zbMath1196.65099OpenAlexW2080512672MaRDI QIDQ709887

Heinrich Voss

Publication date: 18 October 2010

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

Full work available at URL: http://tubdok.tub.tuhh.de/handle/11420/60

zbMATH Keywords

quantum dotSchrödinger equationcomputer simulationelectronic structureRayleigh functionalelectron statesnonlinear eigenproblem

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to quantum theory (81-04) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (8)

Design and analysis of a new structure of InAs/GaAs QDIP for 8–12 μm infrared windows with low dark current ⋮ Successive linear Newton interpolation methods for solving the large-scale nonlinear eigenvalue problems ⋮ A discrete geometric approach to solving time independent Schrödinger equation ⋮ Computer simulation of electron energy state spin-splitting in nanoscale LnAs/GaAs semiconductor quantum rings ⋮ A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for polynomial eigenvalue problems in quantum dot simulation ⋮ 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 ⋮ A survey on variational characterizations for nonlinear eigenvalue problems ⋮ Symbolic-Numerical Algorithms for Solving Parabolic Quantum Well Problem with Hydrogen-Like Impurity

Uses Software

• ARPACK

Cites Work

• Unnamed Item
• Variationsprinzipien bei nichtlinearen Eigenwertaufgaben
• A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems
• ARPACK Users' Guide
• Electron energy level calculations for cylindrical narrow gap semiconductor quantum dot
• Computer simulation of electron energy levels for different shape InAs/GaAs semiconductor quantum dots

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