We introduce a new kind of semiconducter material named quantum-dot quantum wells ( QDQWs) and establish a proper mathematical model for it. After that, we introduce a sort of expansion function celled B-spline and analogise it's normal quality. 介绍了一种被称为量子点量子阱(Quantum-dotquantumwells简称QDQWs)的新型半导体材料,并为其建立了合适的计算模型。