自伴算子 meaning in English
selfadjoint operator
Examples
- Functional inequalities for fractional powers of positive definite self - adjoint operators
正定自伴算子分数幂的泛函不等式 - And beginning with a perturbed nls equation , using a multi - scales perturbation expansion , we get the zero order and the first order equations , discuss the eigenstates of the operator in the equations , induct relevant " derivative states " , form the completeness of the bounded eigenstates of the associated operator in li space , and expand the corresponding parameters in the closure , get a series evolution equations of the coefficients in the expanded formulas , find the first order approximate solution by researching the evolution equations . this paper also gives the basis of this method - the completeness we have formed and the singular perturbation technique
) dinser方程的求解问题，讨论了自伴算子的本征函数的正交性和完备性，介绍了寻求微分方程的近似解常用的摄动方法，并从带有某种扰动项的nls方程出发，利用多重尺度的摄动方法得到了方程的零级近似方程和一级近似方程，通过对近似方程中算子的特征态的讨论，引入适当的“导出态” ，建立了算子在l _ 2空间的特征态的完备性。 - The condition under which the dirac operator is self - adjoint is discussed under the general linear boundary condition between the interval of two points . for the expansion theorem of non - self - adjoint dirac operator , it is unable to use the method of integral equation . but under the linear boundary condition and unlocal boundary condition , the eigenvalue expansion problems of non - self - adjoint operator can still be discussed by using the residue method
对于非自伴dirac算子的特征展开定理已无法应用积分方程的方法，本文仍用留数方法对一个两点非自伴边界条件和一个非局部边界条件下产生的非自伴算子的特征展开问题进行了讨论，分别得到了它们的特征展开定理。