Mathematical Challenges of Quantum Transport in Nano-Optoelectronic Systems - Abstract
Racec, Paul
The R-matrix formalism allows us to reduce the scattering problem i) to a single eigenvalue problem for a closed domain with Dirichlet and Neumann boundary conditions and ii) the computation of the scattering matrix by matrix multiplication for every energy of interest. We take into account the position dependent effective mass for the heterostructure in the framework of the finite volume method. We will present the variational formulation for a cylindrical heterostructure with linear triangular elements. This is a joint work with H.-Chr. Kaiser and K. Gärtner (WIAS Berlin).