An analytic representation for the third-harmonic generation along the well is derived by the density matrix operator theory of the quantum mechanics.
利用量子力学中的密度矩阵算符理论导出了该系统中三次谐波产生的解析表达式。
It is well-known that fractional integral operator is one of the important operators in harmonic analysis with background of partial differential equations.
众所周知，分数次积分算子是调和分析中以偏微分方程为背景的一种重要算子。
By using the method of spherical harmonic, the boundedness of a kind of singular integral operator in product domains is given in this paper.
用球调和的方法研究了一类乘积空间上奇异积分算子的有界性，所获得的结果给出了以往奇异积分算子有界性的应用。
Using the theoretics and properties of squeezed coherent state, the matrix elements of any power of coordinate operator for harmonic oscillator is deduced; and the result is discussed.
利用压缩相干态的理论和有关性质，导出了压缩相干态下谐振子任意次幂的坐标算符矩阵元的表达式，并对所求的结果进行了讨论。
The energy levels for three-dimensional coordinate-momentum coupled quantum harmonic oscillators are presented by using invariant eigen-operator method.
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 method of the harmonic oscillator operator algebra has been used to study the two-dimensional polaron in a magnetic field.
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.
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。
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