算符优先文法是处理算术表达式的有力工具。
Operator precedence grammar is a powerful tool for handling arithmetic expressions.
连续变换光滑地衔接到单位算符。
The continuous transformation connects smoothly to the unit operator .
连续变换光滑地衔接到单位算符。
Thecontinuous transformation connects smoothly to the unit operator.
我们把这种新文法称为扩张算符文法。
结论是交换超算符方法的理论基础是李代数。
The conclusion is that the theoretical foundation of commutative hyper-operator method is Lie algebra.
首次建立适合氢原子特性的量子算符代数理论。
A quantum operator algebraic theory is proposed first to suit the character of the hydrogen atom.
用算符理论推出了一维无限深势阱的不确定关系。
The uncertainty relation of one dimensional infinite well is deduced with the operator theory.
在(3.54)的括号里的算符叫做拉普拉斯算符。
The operator in parentheses in (3. 54) is. called the Laplacian operator.
最后讨论了微观熵算符与内在时间算符的物理含义。
Finally, the physical implication of the microscopic entropy operator and the internal time operator are discussed.
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.
在构成这些算符时，我们不会陷入任何非对易性问题中。
We won't run into any problem of non - commutativity in constructing these operators.
在构成这些算符时，我们不会陷入任何非对易性问题中。
We won't run into any problem of non-commutativity in constructing these operators.
具体研究了在这种奇偶相干态中正交算符的任意阶压缩性质。
In particular, the arbitrary higher order squeezing of the quadrature operators in these states is studied.
研究了双光子非共振作用系统中纯度和密度算符间距的特性。
The time evolution properties of purity and distance between density operators in two photon non resonant interaction system are studied.
通过不变量算子的产生和湮灭算符，得到波函数和几率密度。
The wave function and probability density are obtained by the creation and annihilation operators of the invariant operator.
另一个问题是约束体系的量子哈密顿中涉及到的算符次序问题。
The other is the operator ordering problem in quantum harniton of constrained systems.
本文讨论了这种位移叠加态的量子统计性质及其与位移算符的关系。
We discuss the quantum statistical properties of these states and relate these properties to the displacement operator.
本文介绍一种完全用量子力学中对易算符集方法处理的有限群表示论。
This paper advocates a new approach to the theory of finite group representations by applying exclusively the method of commuting operators in quantum mechanics.
将不变本征算符方法推广到经典体系，并利用它来求体系的简正坐标。
The method of invariant eigen-operator is generalized to the classical system, and the normal coordinate of system is also obtained by using this method.
而散射算符对准粒子态的矩阵元同相应的单粒子态的矩阵元完全一样。
The scattering matrix elements for the quasi particle are the same as those of the single particle.
这是谐振子哈密顿算符最有用的形式，在下文中还会碰到这个表达式。
This is a most useful form of the harmonic oscillator Hamiltonian and it will be encountered in several subsequent developments.
本文利用无穷小旋转与角动量之间的关系来推导角动量算符的对易关系。
By using the relation between unlimited rotation and angular momentum, this article derives the commutation relation of angular momentum operators.
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.
用算符理论推出了氢原子和类氢离子的等式型径向动量-位置不确定关系。
The radial momentum-position uncertainty relation in equality form of hydrogen atom and hydrogen-like ion is deduced by using the operator theory.
我们还观察了相干态波包在量子面包师变换演化算符作用下的动力学演化。
We investigate the evolution of the coherence packets by the action of the propagator of quantum baker's map as well.
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.
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.
利用不变本征算符法给出了坐标-动量耦合的三模耦合量子谐振子的能级信息。
The energy levels for three-dimensional coordinate-momentum coupled quantum harmonic oscillators are presented by using invariant eigen-operator method.
结果表明，导纳统一算符的分析方法不仅运用于集成电路，也运用于集成光路。
It can be concluded that the unifying admittance operator is compatible not only with integrated circuits but also with photic integrated circuits.
在传统算符优先归约算法的基础上，提出了扩展的、基于对象的算符优先算法。
Extended object-based operator precedence algorithm was proposed on the basis of traditional operator precedence algorithm.
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