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.
指出由于在曲线坐标系中，动量算符的分量不一定满足自伴性，因而公式不能成立。
In this paper, that the formula of cannot be tenable is pointed out because of the component of the momentum functor not always satisfying the self-adjointness in the curvilinear coordinate system.
对于一单模光场，定义两个无量纲的正交振幅算符，它们分别与坐标和动量算符成正比。
For a single mode light, two dimensionless quadrature operators are defined which are proportional to the usual position and momentum operators respectively.
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.
我们已经发现需要用一个算符来表示动量。
We have found it necessary to represent momentum as an operator.
文章通过讨论量子力学力学量算符和态矢量在动量表象和坐标表象下的形式。
This paper discusses the form of mechanical quantity operator and state vector of quantum mechanics under momentum image and coordinate image.
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.
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.
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.
角动量在原子及其核结构中有着非常重要的作用的，而在量子力学中角动量的升降算符有着非常广泛的应用。
The angular momentum plays vital role in understanding of the atomic and nuclear structure. In quantum mechanics, the ladder operator technique is widely used.
用非线性李代数方法 ，对关于角动量的阶梯算符进行了研究。
Using the method of nonlinear Lie algebra, the tensors of ladder operators are obtained.
用非线性李代数方法 ，对关于角动量的阶梯算符进行了研究。
Using the method of nonlinear Lie algebra, the tensors of ladder operators are obtained.
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