谐振子在周期运动中是特别重要的。
The harmonic oscillator is an exceptionally important example of periodic motion.
我们可以按数值方法计算简谐振子的位置。
We can work out positions of a harmonic oscillator by numerical methods .
偶极谐振子和可以用积分后的光子吸收截面来表示。
The dipole oscillator sum can be expressed in terms of the integrated photo absorption cross section.
研究了内可逆谐振子量子卡诺制冷机的整体最优性能。
This paper investigates the whole optimum performance of a endoreversible quantum Carnot refrigerator.
应用李代数方法讨论了非简谐振子激光激发的统计性质。
The statistical properties of non-harmonic oscillators' laser excitation are discussed by using Lie algebraic method.
推导出二维各向同性谐振子径向矩阵元所满足的递推公式。
The recurrence formula for radial martrix elements of two-dimensional isotropic harmonic oscillator are derived.
选用薄壁圆筒作为谐振子，设计了短管谐振式密度传感器。
A short pipe densitometer is designed with the resonator of cylinder shell.
研究了谐振子频率的温度特性并设计了频率跟踪带通滤波器。
Studies the resonator frequency temperature characteristic, then designs the middle-frequency tracking band pass filter.
对介观互感电容耦合电路作双模耦合谐振子处理，将其量子化。
Mesoscopic double resonance mutual inductance and capacitance coupling circuit is quantized by the method of harmonic oscillator quantization.
实现了在保持本征值谱结构不变情况下同调谐振子的几种变形。
Several variants of isotonic oscillator which can keep the structure of eigenvalue spectra are realized.
谐振子运动的研究，无论在理论上还是应用上都具有重要意义。
Its significant in theory and application to study the motion of oscillators.
应用能量测不准量公式到介观系统，可得线性谐振子的能级宽度。
Applying the formula into mesoscopic system we get the energy level of linear oscillator.
在许多领域中受正弦变化力策动的谐振子是一种十分重要的运动。
The case of a harmonic oscillator driven by sinusoidally varying force is an extremely important one in many branches .
将该工艺应用到低频滤波器用谐振子中，同样得到了满意的结果。
Applying the new techniques to the resonators of low frequency filters, satisfied results are being obtained.
应用能量测不准量公式到介观系统，可得线性谐振子的能级宽度。
Applying the formula into mesoscopic system, we get the energy level of linear oscillator.
这是谐振子哈密顿算符最有用的形式，在下文中还会碰到这个表达式。
This is a most useful form of the harmonic oscillator Hamiltonian and it will be encountered in several subsequent developments.
此外，作者还给出了二维各向同性谐振子的附加运动常数的正确表达式。
Besides, author derived a correct expression of additional motional constant for the two dimensional isotropic harmonic oscillator.
根据对波函数的分析发现，谐振子势是描述量子点的一个较好的势模型。
According to the analysis of wave function, we can find that harmonic potential is a good model to describe quantum dots.
本文用代数的方法求出了耦合谐振子的简正模，过程简单且物理意义清晰。
Normal mode of coupled harmonic oscillator is obtained by means of algebra, the procedure is simple and the physical meaning is clear.
其中，转动配分函数考虑了离心扭曲修正，振动配分函数采用谐振子近似。
The calculation method for the vibrational partition sums Qvib used is the harmonic oscillator approximation.
在量子力学中，对谐振子的研究，无论在理论上还是在实践应用中都很重要。
In Quantum Mechanics, the study of harmonic oscillator is very important in theoretic and in practical application.
利用能量曲线的分析方法，建立了类谐振子的周期和系统能量的数学表达式。
The relation between period and energy for the harmonic-like oscillation is obtained by using the analysis method of horizontal curve of energy function.
而对位移谐振子，用级数方法无法得到精确解，也可用本方法求得精确显式解。
For displacement resonator, although exact solution can't be obtained by using series method, yet it can be obtained through this method.
推出一维谐振子的能级的能量不确定范围等于零，能级的平均寿命等于无穷大。
Deducing the uncertainty in energy of one dimensional harmonic oscillator equals zero, and average lifetime equals infinity.
本文介绍了费曼路径积分的基本概念和方法，并以谐振子为例说明了它的应用。
In this paper the fundamental concepts and methods of the Feynman path integrals are presented. Their applications are explained by harmonic oscillator as an example.
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.
本文就一类强迫非简谐振子出现随机行为问题作一些讨论并给出数值计算的结果。
In this paper, some discussions and calculations about stochastic behaviour of a kind of forced anharmonic oscillator will be given.
认为电场中带电谐振子用定态微扰的方法不仅可以求近似解，也可找到其精确解。
Point that we not only find the approximate solution by using the perturbation method, but also can find the precise solution.
求出内可逆谐振子量子卡诺制冷机的生态学优化性能，并讨论了制冷机的导热规律。
The ecological optimum performance of a endoreversible quantum Carnot refrigerator is found, and heat transfer law of the refrigerator is discussed.
用谐振子作为化学键的模型，水分子之间的能量转移过程可以描述为耦合谐振子系统。
Regarding harmonic oscillator as a model of chemical bond, the energy transfer processes between water molecules can be described as a system of harmonic oscillators.
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