Using the analytical expressions for the genuine eigenfunctions$\varphi_{\mu\nu}(z)$ and eigenvalues $E_{\mu,\nu}$, of open, bounded andquasi-bounded finite periodic systems, we derive the eigenfunctionsspace-inversion symmetry relations. The superlattice eigenfunctions symmetries,closely related with the symmetries and zeros of the Chebyshev polynomials ofthe second kind $U_n$, are fully written in terms of the number of unit cells$n$, the subband index $\mu$ and the intra-subband index $\nu$.
展开▼
机译:使用真正的本征函数$ \ varphi _ {\ mu \ nu}(z)$和开放,有界和准有界有限周期系统的本征值$ E _ {\ mu,\ nu} $的解析表达式,我们得出本征函数空间-反对称关系。超晶格本征函数对称性与第二类Chebyshev多项式的对称性和零密切相关,以单位像元数量n,子带索引$ \ mu $和子带内形式完全书写索引$ \ nu $。
展开▼