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Using the boundary element dual reciprocity method-multi domain (DRM-MD), bound electron states and the corresponding wave functions in semiconductor quantum wires embedded in a matrix were considered. The single circular and rectangular as well as the two near circular quantum wires were analysed. In the case of two coupled quantum wires, the dependence of the resulting wave function and eigenenergies as a function of the distance between wires was calculated. The DRM-MD gave a linear electron state model and the developed numerical approach accurately captured the symmetry breaking and splitting of the degenerated energy states due to the presence of additional wire. According to the symmetry of the structures a suitable mesh reduction was employed and different modes were considered separately. For a case of hetero structures, domain decomposition was used.

DRM-MD approach for bound electron states in semiconductor nano-wires