根据电荷算符满足的非线性运动方程，在各单元能量基上，精确地计算了能谱。
By using a nonlinear equation satisfied the charge operator, the spectrum is calculated exactly in energy basis for each cell.
有关算符的统计平均值随时间的演化满足一个封闭的一阶线性微分方程组。
The statistical average values of some relevant operators satisfy a set of differential equations of the first order.
本文介绍用投影算符技术导出广义输运方程，并对结果的物理意义进行了讨论。
In this paper, the generalized transport equation is derived from projection operator techniques and the physical meaning of the results is discussed.
在量子力学中求解球对称辏力场中的薛定锷方程时，角动量算符的几个代表关系起着关键作用。
Then the formula for the scalar product of angular momentum operators is used to deduce the Schrodinger equation for one particle in spherical coordinate.
借助于SU(1,1)代数，将三维谐振子与加反平方势的三维氢原子表示成具有相同形式的两算符下的本征值方程。
In terms of SU (1, 1) algebra, the eigen equations of three-dimensional Harmonic Oscillator and hydrogen atom in inverse square potential are counterchanged the same equations in form.
本文对球函数方程进行了求解，并将球函数方程的解合理地应用于角动量平方算符的本征值问题中。
The solution of spherical function is given in the paper, and it is applied reasonably in the problem of eigenvalue of angular momentum square operator.
在本文中我们利用投影算符技巧通过刘维方程推导了系统约化密度主方程，这种方法特别适合于赝非马尔可夫的库场情况。
The master equations of a reduced system density operator , by means of the Liouville equation and the projection operators techniques have been derived.
第二章给出了自发辐射诱导相干影响下的近等间隔的阶梯型三能级系统模型及其密度算符的运动方程的具体推导。
In chapter 2, we gave the nearly equispaced Ladder-type system model and the density-matrix equations in a rotating frame after taking the effects of spontaneously induced coherence into account.
该方法能方便、简洁地将密度主方程转化为对应的普通微分方程，并能从微分方程的解中提取出约化密度算符。
Using it we can conveniently and simply convert a ME into its corresponding differential equation and from solution of which we can extract the reduced density operator.
通过引入了一对自共轭算符将涨落项满足的方程线性化，进而得出密度和相涨落所满足的方程。
By introducing a pair of self-conjugate operators, we may linearize the equation of fluctuation term., and get the equations of density and phase fluctuations.
通过引入了一对自共轭算符将涨落项满足的方程线性化，进而得出密度和相涨落所满足的方程。
By introducing a pair of self-conjugate operators, we may linearize the equation of fluctuation term., and get the equations of density and phase fluctuations.
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