共查询到19条相似文献,搜索用时 46 毫秒
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一维、二维、三维氢原子能级和电子分布概率 总被引:1,自引:0,他引:1
通过一维、二维氢原子定态薛定谔方程的严格解得出的能级公式和波函数,分析了一维、二维氢原子能级特点、简并度和电子分布概率,并将它们与三维氢原子进行比较,发现一维、二维、三维氢原子能级和电子分布概率有许多不同之处。 相似文献
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本文利用两种方法求解二维氢原子的径向方程:一是升降算符法,由所定义的关于量子数m的升降算符,给出了径向波函数之间的递推公式,求出了二维氢原子的能级和径向波函数的表达式;二是通过与三维氢原子径向方程的类比,在三维氢原子径向波函数的基础上,直接给出了二维氢原子径向波函数的一般表示式.两种解法所得结果完全一致. 相似文献
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计算了N(d≥2)维氢原子四类升降算子的矩阵元,得到了N维氢原子归一化系数的普适表示式.当d=2或d=3时,得到二维与三维氢原子升降算子的归一化系数. 相似文献
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通过SU(1,1)代数,找出了二维谐振子与加上反平方势微扰后的二维氢原子的能量对应关系 相似文献
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N维氢原子的另外四类升降算子 总被引:1,自引:1,他引:0
从N维氢原子的径向Schrodinger方程出发,完全用因式分解方法,直接导出N(d≥2)维氢原子的另外第一类、第二类升降算子,并用这两类算子构造出新的第三类、第四类升降算子.当d=3和d=2时,得到三维与二维氢原子的升降算子和文献[5,7]中相同. 相似文献
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抛物线坐标系中的二维氢原子及其Runge—Lenz矢量 总被引:1,自引:0,他引:1
证明了二维氢在抛物线坐标系中的本征函数也是二维Runge-Lenz矢量x分量的本征函数,从而找到了二维氢原子在平面坐标系中的本征函数和在平面抛物线坐标系中的本征函数之间的变换矩阵。 相似文献
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Jing-Ling Chen Hong-Biao Zhang Xue-Hong Wang Hui Jing Xian-Geng Zhao 《International Journal of Theoretical Physics》2000,39(8):2043-2050
Raising and lowering operators of a two-dimensional hydrogen atom are derivedby an Ansatz method. 相似文献
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在平面抛物线坐标系中求解二维氢原子的Stark效应 总被引:2,自引:1,他引:1
在平面抛物线坐标系中计算了二维氢原子的Stark效应,得到了计算任意能级的一阶、二阶和三阶修正的普遍公式。 相似文献
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We explore the non-commutative (NC) effects on the energy spectrum of a two-dimensional hydrogen atom. We consider a confined particle in a central potential and study the modified energy states of the hydrogen atom in both coordinates and momenta of non-commutativity spaces. By considering the Rashba interaction, we observe that the degeneracy of states can also be removed due to the spin of the particle in the presence of NC space. We obtain the upper bounds for both coordinates and momenta versions of NC parameters by the splitting of the energy levels in the hydrogen atom with Rashba coupling. Finally, we find a connection between the NC parameters and Lorentz violation parameters with the Rashba interaction. 相似文献
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Shengli Zhang 《International Journal of Theoretical Physics》1995,34(11):2217-2221
The discrete energy spectrum of theq-analog of the two-dimensional hydrogen atom is derived by deforming the Pauli equation. It contracts to that of the ordinary two-dimensional hydrogen atom in the limitq ± 1. The degeneracy is discussed generally and some properties of theq-energy spectrum are studied both for realq and for complexq of magnitude unity. 相似文献
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Utilizing the SU(2)q,s symmetry ofthe q,s-deformed two-dimensional hydrogen atom (2DHA),the Clebsch–Gordan coefficient for theq,s-deformed 2DHA is derived in the Bargmannspace. 相似文献
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The energy-level structure of spatially indirect Coulomb complexes is investigated. Two limiting cases that correspond to
the two-dimensional hydrogen atom and planar isotropic harmonic oscillator are characterized by accidental degeneracy are
considered. Numerical calculations are used to trace the evolution of the energy-level structure between these two limiting
cases. 相似文献
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We construct the coherent state for the two-dimensional hydrogen atom, for which the averaged motion ofposition describes a Kepler ellipse. The coherent state can be expanded with respect to the eigenstates of 2D hydrogenatom, from which we evaluate the binding energy of the wave packet for this state. 相似文献
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M. Friedman A. Rabinovitch R. Thieberger 《Zeitschrift für Physik A Hadrons and Nuclei》1984,316(1):1-4
The ground state energy of a hydrogen atom confined to a box, in the presence of an electric field is calculated. Boxes of various shapes are applied in order to demonstrate the shape's influence on that energy level. The procedure consists of numerically solving the two-dimensional Schrödinger equation using a finite element package. 相似文献