Dirac算子的双谱反问题

Inverse Problem of Dirac Operator from Two Spectras

从2组特征值出发,研究了Dirac算子的双谱反问题.首先由规范系数αn与谱函数ρ(λ)之间的关系,从由双谱确定Dirac算子势函数的反问题转化为由谱函数确定Dirac算子势函数的反问题,最后证明双谱反问题的存在性及惟一性.

The inverse problem of Dirac operator from two spectras is studied,by two sets characterstic values.First,according to the relationship between αn and ρ(λ),the inverse problem of the potential function definiting Dirac operator from two spectras,is changed into the inverse problem of the potential function definiting Dirac operator from spectra functions, at last,the existence and the unique of two spectras inverse problems are proved.