The adjoint representations of Hopf algebras with non-degenerate Killing form Killing根非退化下Hopf代数的伴随表示
By introducing the non-degenerate linear transformation, the calculation procedure of this type of multi-integration is simplified and the calculation formula is obtained. 讨论了被积函数或积分区域可以用二次型来表示的重积分的计算问题,通过引入进非退化线性变换,简化了这类重积分的计算,得出了计算公式。
Analysis of non-degenerate four-wave-mixing crosstalk in DWDM system DWDM系统非简并四波混频串扰的分析
Co-split Lie super algebra with non-degenerate Killing forms 具有非退化Killing型的余分裂李超代数
The Computation of High Order Approximation Formulae in Non-degenerate Stationary Perturbation Theory 非简并定态微扰理论高级近似公式的计算
On the solution to the non-degenerate mixed integer linear programming problems 非退化混合整数线性规划的一种解法
We completely determined the structure of Derg of the 3-solvable non-degenerate Lie Algebra, g. 进而给出了三次可解型非退化李代数的一个等价条件,并且详细地刻画了它的导子李代数的结构。
The fluctuation spectra of signal mode in non-degenerate parametric down-conversion 非简并参量下转换中信号模的起伏谱
The Application of Non-degenerate Linear Transformation in the Calculation of Multi-integration 非退化线性变换在重积分计算中的应用
A Class of Lie Algebras with a Symmetric Invariant Non-Degenerate Bilinear Form 一类带有非退化对称不变双线性型的李代数
The squeezing of light in the SU ( 1, 1) coherent state for the optical non-degenerate parametric amplifying processes is discussed. 本文讨论光学非简并参量放大过程中由光场真空态演化成的SU(1,1)相干态里光场的压缩。
The Structure of 3-Solvable Non-Degenerate Lie Algebra and Its Derivation Lie Algebra 三次可解型非退化李代数及其导子李代数的结构
Optimum realization of the EPR paradox in the non-degenerate parametric amplification system 在非简并参量放大系统中EPR佯谬的最佳实现
The non-degenerate of the Markov integrated semigroup is proved according to the definition of transition probability functions. 从转移概率函数的定义出发,证明了Markov积分算子半群是非退化的。
Non-degenerate four-wave mixing is realized in Ce: Fe: LiNbO_3 crystal. 在Ce:Fe:LiNbO_3晶体中实现了非简并四波混频。
Photon statistics of non-degenerate optical parametric processes is discussed, making use of Taylor series approximation. 本文利用泰勒级数展开的近似方法,讨论了在非简并光参量过程中的光子统计。
The main result of this paget is, that every bounded non-degenerate representation of a C-algebra A on a separable Hilbert space H is similar to a-representation. 本文的主要结论是:在一个可分Hilbert空间H上一个C一代数A的任一有界、非退化表示相似于一个&表示。
The relationship within non-degenerate linear substitutions which changes quadratic forms into gauge forms over real number field or complex number field and introduction the result into congruent matrices are discussed in this paper. 本文探讨了把实数域或复数域上的二次型化为规范形所采用的非退化线性替换之间的关系,并引入到矩阵的合同关系中。
The paper presents three definitions of non-degenerate second-order curve, and proves that they are equivalent. 本文列举了非退二次曲线的三种定义,并证明了它们之间的等价性。
SU ( 1,1) Coherent States in Optical Non-degenerate Parametric Amplifying Processes and the Squeezing of Light 光学非简并参量放大过程中的SU(1,1)相干态与光场压缩
In this paper, we use the solution of the Fokker-Planck equation for non-degenerate parametric amplification to deduce the condition of demonstration of the EPR paradox. 利用非简并参量放大系统中Fokker-Planck方程的解来推导实现EPR佯谬的条件。
The solution of the Fokker-Planck equation of non-degenerate parametric amplification system for generation of squeezed light 由非简并光学参量放大系统获得压缩态光所满足的Fokker-Planck方程及其解
The cavity field spectrum of an atom interacting with two-mode field through non-degenerate Raman coupling with the presence of AC-Stark shift in an ideal cavity is investigated. 研究了原子与双模光场非简并拉曼耦合过程中交流斯塔克位移对腔场谱的影响。
The numerical model of semiconductor optical amplifier based on the carrier rate equation and non-degenerate four-wave mixing effect of SOA are studied, and the multi-input RZ/ NRZ-DPSK format data logic XOR gate and RZ-OOK format logic AND gate are put forward. 研究了基于载流子速率方程的半导体光放大器分段数值模型和SOA的非简并四波混频效应,在此基础上提出了三输入的RZ/NZR-DPSK格式数据逻辑异或门和RZ-OOK格式逻辑与门方案。
At present, the study of the quantum Lyapunov control method for the state transfer in closed quantum systems mainly focus on the non-degenerate cases. 目前,为实现封闭量子系统的状态转移所采用的量子李雅普诺夫控制方法的研究主要集中在处于退化情况的量子系统。
CV entanglement can be accomplished by coupling squeezed states on a beam splitter, also can be directly generated from an non-degenerate optical parametric amplifier ( NOPA). 连续变量纠缠可以利用单模压缩态在分束器上耦合实现,也可由一个Ⅱ类匹配非线性晶体组成的非简并光学参量放大器(NOPA)直接产生。
So people are beginning to pay more attention to four wave frequency mixing process, especially the experiment of using non-degenerate four wave mixing process to produce bright twin beams with strong frequency correlation in the atomic gas, it has become a hotspot in the quantum optics field. 此后四波混频过程受到人们的极大关注,特别是最近在原子气室内利用非简并四波混频过程产生强关联的明亮孪生光束的实验,使其成为量子光学研究领域的一个热点。
However, in practice, most of the practical quantum systems are in the degenerate cases but not the non-degenerate cases. 然而在实际中,很少有量子系统处于非退化情况,而大多数量子系统是处于退化情况。
We find that all the energy levels are non-degenerate and the original first excited state or energy level disappears because of the operation of symmetry or antisymmetry of identical particles. 我们发现所有能级都是非简并的,而且原本应该存在的第一激发态能级因为对称性或反对称性消失了。