Bispectrum Of The Dirac Operator Inverse Problem

Consider Dirac equationWherep(x),q(x), o < x < π, is two real-value continuous functions, Subjoin the boundary conditionWhere α,β and γ are three real numbers, α ≠ γ.This is eigenvalue problem of Dirac operator. In this paper, We Determine the formula for norming constants α_n from two eigenvalues of the problems (0.1)+(0.2) and the problems (0.1)+(0.3),And the asymptotic formula for norming constants α_n is solved. Through the relationship between spectra function and the norming constants, the Dirac operator inverse problem from two spectra is reduced to the inverse problem from the spectra function, which we can prove.