**Accounting for nonlinearities in mathematical modelling of quantum dot molecules**

**Melnik, R.V.N., Lassen, B., Lew Yan Voon, L.C., Willatzen, M., Galeriu, C.**

__ __*Dynamical Systems and Differential Equations**, Supplement Volume 2005, ISSN1078-0947, 642--651 (based on the AIMS 5th DSDE, Eds. S. Hu, X. Lu. and W. Xie) *

### Abstract:

Nonlinear mathematical models are becoming increasingly important for new applications of low-dimensional semiconductor structures. Examples of such structures include quasi-zero-dimensional quantum dots that have potential applications ranging from quantum computing to nano-biological devices. In this contribution, we analyze presently dominating linear models for bandstructrure calculations and demonstrate why nonlinear models are required for characterizing adequately optoelectronic properties of self-assembled quantum dots.