周期边值条件下Dirac算子的迹公式

Trace identity of Dirac operator under periodic boundary condition

对Dirac算子在周期边值条件下的特征值及其特征函数进行渐近估计,证明了特征值的秩和其作为ω(λ)的零点的重数一致,并获得了特征值的迹公式.

The asymptotic behaviour of eigenvalues and eigenvalue functions of Dirac operator with periodic boundary condition are estimated.It is proved that the rank of the eigenvalue equals to the order of the zero as ω(λ) and obtains trace identity of the eigenvalues.