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.
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.
文中采用时间演化算符，考虑到初始原子相干性及失谐量，研究了单个二能级原子与压缩真空态辐射场相互作用中原子的偶极压缩。
Considering the initial atomic coherence and the detuning, dipole squeezing of a two-level atom interacting with squeezed vacuum field is studied by means of the time-evolution operator method.
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.
因此，单模光场与此介质相互作用的哈密顿量正比于光场的湮灭算符与产生算符和的四次方。
Therefore interaction Hamitonian of the single mode light field with the medium is proportional to the fourth power of the annihilation operator plus creation operator.
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.
从压缩算符、压缩相干态、压缩变换与哈密顿量的对角化等几个方面对单模压缩态进行了讨论。
The squeezed state of single module is discussed frome aspects of squeezed operator, squeezed coherent state, squeezed transformation, the diagonalization of Hamiltionian, and so on.
利用数值计算方法，研究了二项式光场与二能级原子相互作用过程中原子算符的压缩效应。
In this paper, by means of numerical calculations, the squeezing effect of atomic operator in the binomial states field interacting with a two-level atom is discussed.
本文使用超维里定理与升降算符方法，导出了氢原子跃迁矩阵元与平均值计算的一些递推关系式。
Some recursive relations were derived for the radial matrix elements of Hydrogenic Atom using hypervirial Theorem and ladder operators.
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.
但由于光场与原子的纠缠和退纠缠速率加快，密度算符间距在每个周期内振荡加剧。
But due to the rate of disentanglement and entanglement between atom and field becomes more rapid, the distances oscillate more rapidly within each period.
谐振子算符的代数运算方法被用于研究磁场中同时与表面光学声子及表面声学声子相互作用的二维电子。
The method of the harmonic oscillator operator algebra has been used to study the two-dimensional polaron in a magnetic field.
本文证明在类空间存在一生成基，与投影算符或幂等元相反，它是各次幂不等的。
In this paper we showed that there is a generating basis in class space. It differs from the projection operators and idempotent for every power which is not equal to itself.
在强经典场的作用下，演化算符与光子数无关，因此方案对热场不敏感。
The photon-number-dependent parts in the evolution operator are cancelled with the assistant of a strong classical field, so the scheme is insensitive to the thermal field.
采用时间演化算符和数值计算方法，研究了两全同二能级纠缠原子与二项式光场相互作用过程中光场的量子特性。
The quantum properties of light in the system of two coupling atoms Raman interacting with single-mode squeezed vacuum field in Kerr medium are studied by means of quantum theory .
采用时间演化算符和数值计算方法，研究了两全同二能级纠缠原子与二项式光场相互作用过程中光场的量子特性。
The quantum properties of light in the system of two coupling atoms Raman interacting with single-mode squeezed vacuum field in Kerr medium are studied by means of quantum theory .
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