Stationary Schrödinger equations governing electronic states of quantum dots in the presence of spin-orbit splitting.

DOI10.1007/s10492-007-0014-5zbMath1164.65412OpenAlexW2025308906MaRDI QIDQ954619

Heinrich Voss, Marta M. Betcke

Publication date: 24 November 2008

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33288

zbMATH Keywords

Hamiltonianquantum dotnonlinear eigenvalue problemnonlinear Arnoldi methoditerative projection methodminmax characterization

Mathematics Subject Classification ID

Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items

A block Newton method for nonlinear eigenvalue problems ⋮ Analyzing the convergence factor of residual inverse iteration ⋮ A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for polynomial eigenvalue problems in quantum dot simulation ⋮ A survey on variational characterizations for nonlinear eigenvalue problems

Uses Software

• FEMLAB

Cites Work

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• An Arnoldi method for nonlinear eigenvalue problems
• Iterative projection methods for computing relevant energy states of a quantum dot
• Residual Inverse Iteration for the Nonlinear Eigenvalue Problem
• A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems
• A GSVD formulation of a domain decomposition method forplanar eigenvalue problems
• Motion of Electrons and Holes in Perturbed Periodic Fields