The harmonic oscillator is an exceptionally important example of periodic motion.
谐振子在周期运动中是特别重要的。
The calculation method for the vibrational partition sums Qvib used is the harmonic oscillator approximation.
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 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。
This is a most useful form of the harmonic oscillator Hamiltonian and it will be encountered in several subsequent developments.
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。
The third chapter introduces the harmonic oscillator model, normal mode vibration types and frequency characteristics of infrared spectra.
第三章介绍了红外光谱的谐振子模型、简正振动类型和频率特征。
Using the harmonic oscillator model of quasicrystal of liquid, the wave equation describing the motion of liquid molecules has been derived.
用液体的准晶态的谐振子模型，导出描述液体分子运动的波动方程。
The method to measure body's inertial mass is proposed by measuring period of vibration with the integrated hall switch sensor, when spring oscillator is in situation of simple harmonic vibration.
提出了在弹簧振子作简谐振动时，利用集成开关型霍尔传感器测量振动周期，以进一步测量物体惯性质量的方法。
Normal mode of coupled harmonic oscillator is obtained by means of algebra, the procedure is simple and the physical meaning is clear.
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。
For a harmonic oscillator the energy levels are evenly spaced.
对谐振子来说，能级是等间隔的。
Double wave function quantum theory is applied to describe the motion of three dimension isotropy charged harmonic oscillator in a uniform magnetic field.
讨论均匀磁场中三维各向同性带电谐振子的双波函数描述，得到量子和经典极限条件下的结果。
The case of a harmonic oscillator driven by sinusoidally varying force is an extremely important one in many branches .
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 principal resonance of a second-order stochastic oscillator under combined harmonic and random parametric excitations is investigated.
研究了二阶线性系统在谐和与随机噪声联合作用下的主共振响应和稳定性问题。
The external potential has many forms, such as harmonic oscillator potential, optical lattice potential, elliptic function potential, double well potential, and so on.
外势有许多形式：简谐外势、光晶格外势、椭圆函数外势、双阱外势以及含时线性外势等等。
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.
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。
Besides, author derived a correct expression of additional motional constant for the two dimensional isotropic harmonic oscillator.
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。
Mesoscopic double resonance mutual inductance and capacitance coupling circuit is quantized by the method of harmonic oscillator quantization.
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。
Another expression of the radial matrix elements for isotropic harmonic oscillator is obtained by using progressional expression of the generalized Laguerre polynomial and the partial integration.
利用广义拉盖尔多项式的级数表达式和分步积分法，给出了各向同性谐振子径向矩阵元的另一种表达式。
The Schrodinger equation of time - dependent harmonic oscillator is solved by the time space transformation, and its application in physics is presented.
利用时空变换法求解含时谐振子的薛定谔方程，并对这类问题在物理上的应用作了说明。
The conditions for the production of amplitude-cubed squeezing in higher-order harmonic generation and an anharmonic oscillator are studied.
本文研究了高次谐波产生及非谐振子模型两种非线性光学系统中存在光场振幅立方压缩的条件。
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 dynamical model and the oscillation-rotation model of particle are derived from the dynamical mechanism of spontaneously break symmetry, and its simplified form is a harmonic oscillator model.
简述了已知的粒子质量公式，由动力学的对称性自发破缺机制导出粒子的动力学模型和振动-转动模型，其简化形式是谐振子模型。
Deducing the uncertainty in energy of one dimensional harmonic oscillator equals zero, and average lifetime equals infinity.
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。
Using the periodic orbit theory, we computed the quantum level density of a particle in the two-dimensional harmonic oscillator potential with and without the magnetic flux line for different cases.
利用周期轨道理论，我们计算了在不同情况下，一个粒子在二维谐振子势中存在和不存在磁通量时的量子能级密度。
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.
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 Quantum Mechanics, the study of harmonic oscillator is very important in theoretic and in practical application.
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。
This paper studies the causality and analyticity characteristics in harmonic oscillator, and from which drives Hilbert transform pair.
本文对谐振子的因果律和解析性质进行了研究，并由此推导出谐振子的希尔伯特变换对。
The Schrdinger equation is given directly from the classical Hamiltonian function of a damping harmonic oscillator, and its solution is obtained by the separation of variables.
写出阻尼谐振子的哈密顿函数，对其直接量子化，用分离变量法得出了薛定谔方程的解。
In this paper, the precise solution of a generalized time dependent harmonic oscillator is obtained by a sequence of unitary transformations and applied to construct the squeezed state of the system.
利用一系列幺正变换，求出了广义含时谐振子系统的精确解，并利用此精确解构造了此系统的压缩态。
Mesoscopic double resonance circuit with complicated coupling is quantized by the method of harmonic oscillator quantization and linear transformation.
对介观复杂耦合电路作双模耦合谐振子处理，将其量子化。
A micro differential capacitance and a micro harmonic oscillator are studied and designed. The structure of the micro differential capacitance is optimized by use of the ANSYS software.
研究了微电容式压力传感器的差动电容结构设计和微谐振式压力传感器的微谐振子结构设计，利用ANSYS软件对微差动电容的结构进行了优化设计。
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