At last , about how to improve teaching stationary state perturbation method is briefly reviewed on base of modern teaching theory and self - study experience 最后结合现代教育理论及本人的学习体会就如何搞好定态微扰论的教学进行了简单阐述。
Experimental result , such as excitation potential in frank - hertz experiment , can be quantitatively presented with least - squares fit instead of the average method 通过具有教学普遍意义的“夫兰克赫兹实验”中原子定态能级分析,指出常用的平均法或“类平均法”的局限性。
In this paper , topologic entropy will be employed to study the dynamical behavior of one - dimensional cnn , especially , the iteration map of stationary solution of cnn 在本文我们将用拓扑熵来研究细胞非线性网络的动力学性质,特别是由cnn的定态解诱导出的迭代映射的动力学性质。
But self - organized criticality ( soc ) is a kind of weak chaos nature : " edge of chaos " ( non - stable steady state ) , appearing only in the specific space - time region in specific stage at self organization process of crustal movement “自组织临界态” ( soc )是一种弱混沌性质的“混沌边缘态” (非稳定定态) ,只出现于地壳运动自组织过程特定阶段中的特定时空域。
In chapter 2 , we use an open v - type three - level system model with incoherent pump put forward by yelin , and give a universal nonlinear analytical solution of the steady state by density - matrix equations of motion 第二章中我们使用了yelin等提出的具有非相干泵浦的开放v型三能级系统模型,通过密度矩阵运动方程给出了该系统的定态非线性解析解的普遍表达式。
It is shown that the noise correlation time has great effects on the parameter plane of the first - order - like transition . the steady state intensity distributions in a laser system change greatly with noise correlation time t 同乘性白噪声相比较,结果表明,噪声相关时间对激光场一级相变类比参数区域产生很大影响,从而使激光场定态分布随噪声相关时间变化较大。
Thirdly , a unified colored - noise approximation is applied to calculate the steady state distributions of the dispersive optical bistability when the fluctuations in the amplitude and phase of the incident field are considered as colored noise 色散光学双稳系统是本文研究的第三种光学模型。当入射光中的强度涨落和位相涨落分别看作色噪声时,我们用统一色噪声近似得到它们的定态强度分布。
By the method of unified colored noise approximation and the transformation of noise terms in langevin equation , the corresponding fokker - planck equation is obtained . the steady state probability current is derived according to the conservation law of probability 通过统一色噪声近似和朗之万方程中的耦合噪声项的变换,可得到相应的福克?普朗克方程,再根据几率守恒定律推导出定态几率流。
Comparison of the folt induced by colored noise in intensity and phase fluctuations shows that the number of the extremum in the steady state distribution is changed from one to two , and then to three successively for colored noise intensity fluctuation 对色噪声强度涨落和色噪声位相涨落诱导的一级相变类比进行比较表明,色噪声强度涨落情形下,定态分布函数的极值点由一个变为两个,再变为三个。
First , we concisely recall the formation and development of bose - einstein condensa - tion ' s theory and it ' s experimentation . secondly , we briefly intro - duce some properties of weakly interactive bose gases , and derive the nonlinear gross - pitaevskii equation that is the condensate macroscopic wave function ' s equation . thirdly , we give a exam - pie , an approximation analytical solution of the gross - pitaevskii equation in a spherical symmetric harmonic trap is derived by a perturbation theory approach , this solution is consistent with that numerically obtained 全文共分为四章:第一章首先简要的介绍和回顾了玻色-爱因斯坦凝聚理论的产生和发展,以及其实验研究的过程,然后着重介绍了弱相互作用的玻色气体的一些性质,并推导出了凝聚体宏观波函数满足非线性的gp方程,还以球对称的谐振子势为例,用标准的微扰方法求出了定态的gp方程近似解,发现其与已知的数值结果符合得很好。