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We Construct and SU(1,1)coherent state for hydrogen,we discuss its properties,and we give the energy distribution law of the atom.The coherent state may be used to describe the atomic states of the discrete spectrum. 相似文献
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In this paper, we study the Wigner function of coherent state of N components, especially two components and three components. This function consists of two terms: the Gaussian term and the interference term with the negativity. The first term comprises N Gaussian surfaces evenly centred on a circle of radius |β| = |α| with a separate angle of 2π/N, and the second term is composed of 1/2N(N - 1) Gaussian-cosine surfaces evenly centred in a circular region of radius |β| 〈 |α|. Here, a is the eigenvalue of the annihilation operator α, and β is a variable in some complex space in which the Wigner function is defined. We have proved that the essential condition to eliminate the negativity of the Wigner function is that the mean photon count of the coherent state is equal to that of the Glouber coherent state. 相似文献
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本文运用Racah-Speier定理研究了SU3群的Clebsch-Gordan级数.,建立了计算这个级数中的不可约表示及其重数的普遍公式。这个公式对具体计算是非常简单而有效的。可以运用这个公式去分析SU3的Clebsch-Gordan级数中重数的分布规律,以及确定SU3的Wigner算符的零空间,后者对计算有重数情形下的Wigner系数是重要的。 相似文献
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本文运用作者关于SU3群C-G级数的公式,全面地论述了SU3群Wigner算符的作用,分析了SU3群C-G级数中重数的分布规律和确定了SU3群Wigner算符的零空间。 相似文献
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在薛定谔方程中引入能级衰减项,并通过对圆极化光调频及强激光近似,对三种类型的三能级原子分别找到了三个特殊态,基于对特殊态的研究,讨论了圆极化光对三能级原子寿命的影响. 相似文献
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中性粒子在Ioffe阱中的经典运动 总被引:2,自引:0,他引:2
Ioffe阱因能对中性粒子实现稳定囚禁而成为一种倍受关注的磁阱。若只讨论阱中的近原点区域时,阱中的磁场可以呈现出一种简明的形式。磁矩μ反平行于磁场的中性粒子在阱中与磁场发生相互作用,借助相互作用势,可以获得粒子在阱中的经典运动方程。本文着重探究这种方程的近似求解方法。在一定的条件下,我们可以采用逐次近似的方法,使方程演化为我们熟悉的马丢方程的形式。若阱的参数设置使得马丢方程中λ>>q>0成立时,我们可以利用传统的WKBJ方法近似求解马丢方程。作为一种新的尝试,本文还采用傅立叶级数展开的办法来对马丢方程进行求解,从而得到中性粒子在阱中的经典运动规律。 相似文献
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DYNAMICS OF A TRAPPED ATOM INTERACTING WITH AN ELECTROMAGNETIC WAVE OF CIRCULAR POLARIZATION 下载免费PDF全文
In this paper the dynamics of a trapped two-level atom interacting with a beam of electromagnetic wave of circular polarization is studied. In a frame rotating with the atomic transition frequency ω0, the motion of the atom is governed by a nonlinear coupled Jaynes-Cummings (JC) Hamiltonian. By means of this nonlinear Hamiltonian, we study the atomic inversion, squeezing effect of the vibration mode and that of the atomic dipole, and the phase property as well as its fluctuation of the vibration mode. In the Lamb-Dicke limit, we get the results similar to those of the JC model; beyond the Lamb-Dicke limit, we find the evolution of these quantities becomes very complicated. The nonlinearity weakens the collapse-revival phenomenon of the atomic inversion and the squeezing effect; the evolution of the cosine phase operator becomes less predetermined with its fluctuation not enlarged. 相似文献
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曾高坚 《数学物理学报(B辑英文版)》1992,(3)
We describe the establishing process for the Boson-Fermion algebra of OSP(1, 2) starting from the fundamental Wigner operators of OSP(1, 2), and study its structuré feature and representation theory. We also give the Boson-Fermion representation of OSP (1, 2), which is an infinite dimensional and grade star representation 相似文献