适于超晶格应用的Kronig-Penney模型新形式

A NEW GENERAL FORM OF THE KRONIG-PENNEY MODEL SUITABLE FOR SUPERLATTICE STUDIES

本文发展了一种Kronig-Penney模型的新形式,比文献[1]的新形式更加普遍和实用,可以分别给出奇数带和偶数带任意k值的包络波函数和能量本征值,并且深入分析了波函数的字称,从而为对超晶格物理性质的研究,提供了一种更加合适的理论形式。

A new form of the Kronig-Penney model has been developed which is more general and practical than the new form in Ref. [1] . It gives not only odd and even index subbands separately but also wave functions for all k values. Moreover, a thorough analysis of the parity of tin-wave functions can also be given. Hence it affords a more suitable theoretical form for the analysis of superlattices and application to device designs.