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In this paper, the current states of research about the basic theory of harmonic oscillator and hydrogen atom in quantum mechanics are firstly reviewed. On base of it, and the relationships between harmonic oscillator and hydrogen atom in quantum mechanics are studied. By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one-dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. Therefore the relationships between energy levels and wave functions of one-dimensional harmonic oscillator and hydrogen atom are found. Through the coordinates transform, the relationships between energy levels and wave functions of two-dimensional harmonic oscillator and hydrogen atom are found.

首先综述了谐振子与氢原子的基本理论的研究现状,并在此基础上对谐振子与氢原子的关系展开了研究,通过厄密特方程与拉盖尔方程的相互转化,将一维谐振子与一维氢原子的本征值方程转化为相同形式的方程,从而比较得出它们能量及波函数间的关系,并通过坐标变换将直角坐标系下二维氢原子的本征值方程转化成与曲线坐标系下二维谐振子的本征值方程相同的形式,从而得出二维氢原子与二维谐振子的能量及波函数的关系。

The grey scale of the pixels in image is expressed by quantum bit and the relation between two pixels is described by means of the superposition of two quantum bit in this paper.Based on this,the average of linear hermitian operator in this superposition can be used for judging the edge of image and a new method for edge detection of image is so created.The rationality of the method is interpreted by probability theory here.

利用量子比特表示图像像素的灰度,用双量子位叠加态来描述两像素之间的关联,通过线性厄米算符在该量子叠加态中的平均值来判断像素的边缘特征,由此建立了一种新的图像边缘检测方法,并从概率论的角度对该方法的合理性给予解释。

This has just reached ouraim of establishing a quantum theory of potential scattering inphase space in the sense of the pure quantum mechanics.

这恰好就达到了我们在纯量子力学意义上建立相空间势散射理论的目的。

Planck constant and spin quantum number are calculated by the spacing of the twin line.These have high precision compared with theory value. sodium atomic spectra ; fine structure constant α; spin quantum number s

文献[2]用双光栅单色仪取代平面光栅摄谱仪研究钠原子光谱,能明显观察到谱线双重结构不同成分间的强度比

After an analysis of the enlightenment and guidance of correspondence principle on the physics thought and methodology in the course of proposing quantum theory and the establishment of quantum mechanics, this article discusses the ideological connotation and puts forward the belief that correspondence principle reflects the fact that when substance can be neglected within certain limits, the physics model with universality is tending to become similar to that with particularity.

分析了在量子论的提出和量子力学的建立过程中,对应原理在物理思想和方法论上的启发和指导作用;讨论了对应原理的思想内涵,认为对应原理反映了当物质的某些属性在极限情况下可以忽略时,普遍性的物理模型趋同于特殊性的物理模型,普遍性的理论可以过渡到特殊性的理论,在结论上趋同于特殊性的理论。

Controlling quantum phenomena is an important goal in chemistry, and quantum control theory is helpful to realize the goal.

控制量子现象是化学研究中的一个重要目标,量子控制论对实现该目标具有积极的指导意义。

After studying the contents, we hope that the graduate students can grasp the basic principles of quantum electronics, master the basic methods of semi-classical and semi-quantum theory, have the capacity for reading special treatises ,and for handling problems in scientific research.

我们希望研究生通过对该课程内容的学习,能掌握量子电子学的基本原理,在理解相应基本概念的基础上学会采用半经典半量子理论,处理光和物质相互作用的基本方法,具有阅读国内外有关文献的能力,进一步处理科研中遇到问题的能力。

To quantificationally describe trip mode transfer rules,the comparability between trip mode transfer and quantum jump was analyzed in detail,and a trip mode transfer model was put forward according to quantum energy level jump theory.

为定量描述出行方式转移规律,分析了出行方式转移与量子跃迁的相似特性,根据量子能级跃迁理论建立了出行方式转移模型,通过分析长春市居民出行调查数据,推导了出行方式转移的多项式拟合公式,分别采用2~4次多项式标定了拟合系数,并且进行了相关性检验。

It is produced by syncretizing quantum theory and information science, characterized by that quantum states are information carrier.

它是量子力学和信息科学相结合的产物,它的最大特色是以量子态作为信息载体。

Though theories and methods about noncommutative problems mainly root in quantum field theory, discussing noncommutative effects on resolvable model based on quantum mechanics is important similarly.

尽管研究非对易空间问题的理论和方法主要来自于量子场论,然而,在量子力学的框架下研究一些可解模型的非对易空间效应也是非常重要的工作。

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推荐网络例句

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是,这是不可能的,只要是搞市场经济,是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。

The temperature is usually between 300 and 675 degrees Celsius.

温度通常在摄氏300度到675度之间。