非对角元

碰撞对原子产生两种效应：原子跃迁或原子能级的随机移位δω（t），本文证明δω（t）导致密度矩阵非对角元p（ab）的寿命效应。

The Collisions produces two effets on atoms : the atoms transition or the random shift δω( t ) of the levels , in thio paper , we prove that the δω( t ) leads to lifetime effects on the off-diagonal element ρ _ ( ab ) .

本文在文[3]给出的逆H矩阵定义的基础上，进一步得到了逆H矩阵的新的性质一对角元对于非对角元的占优关系。

In this paper , several new properties of inverse H-matrices are given .

研究一维分子链中的极化子，考虑了晶格动力学矩阵非对角元对声子Hamiltonian的贡献，得出与原有文献形式不同的极化子解。

The polarons in an one-dimensional molecular chain was investigated taking into account the contribution of the nondiagonal elements in the lattice dynamical matrix to the phonon Hamiltonian , and a new polaron solution was obtained .

计算自旋轨道算符非对角元系数的一种简单方法

A Way of Calculating Nondiagonal Matrix Component Coefficient of Spin Orbital Operator

得到简并双光子过程中原子约化密度算符非对角元。

The non-opposite angle element of two-level atom 's reducible density rectangular array is obtained .

其一，仅有阻尼相互作用和势能相互作用，此时利用位移算符的性质和相干态的性质很方便地推导了量子动力学模型的相干项（约化密度矩阵的非对角元）；

First , the interaction is damping interaction and potential energy . We deduce easily the coherent term of quantum dynamical model ( the off-diagonal of reduced density matrix ) by improving the nature of displace operator and the nature of coherent states .

本文讨论了利用矩阵奇异值的对角优势判定，结合多变量系统反回比阵分解为对角元阵和非对角元阵的分析，给出一个具有较少保守性的多变量系统稳定性判据。

This paper presents , in view of the diagonal dominance criterion of the matrix singular value based on the analysis of decomposing the return ratio matrix of multivariable systems into the diagonal and non-diagonal element matrix , a less conservative stability criterion of multivariable systems .

所得到的激光物质的增益和饱和效应、色散和频率牵引的理论公式与兰姆半经典理论中，密度矩阵非对角元的三阶解理论结果完全一致。但这一方法简化了数学过程。

The derived formulas on gain and saturation effect , dispersion and frequency pulling of the laser material agree with the results obtained by the third order approximation of the non-diagonal element of density matrix in Lamb 's semi-classical theory and this method simplifies the mathematical processes .

设Dn（d）是恰含d个非零对角元的n阶布尔矩阵的集合，1≤d≤n本文得到了Dn（d）中矩阵的广义幂敛指数的最大值。

Let Dn ( d ) be the set of all by n Boolean matrices with exactly d non-zero entries on the main diagonals , where 1 ≤ d ≤ n. The maximum value for the generalized indices of convergence of matrices in D. ( d ) is obtained .

恰含d个非零对角元的本原矩阵的广义最大密度指数集

The Generalized Maximum Density Index Sets of Primitive Matrices with d Nonzero Diagonal Entries

含非零主对角元的非powerful本原符号矩阵的基指数集

On the base set of primitive non-powerful sign pattern matrices with nonzero diagonal entries