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研究多种正幂势函数与逆幂势函数紧密耦合条件下薛定谔径向方程解析解的求解方法.对势函数为V(r)=α1r8+α2r3+α3r2+β3r-1+β2r-3+β1r-4的径向薛定谔方程存在解析解的条件以及精确的解析解进行了研究. 根据量子系统波函数必须满足单值、有界和连续的标准条件,首先求出径向坐标r→∞以及r→0时的渐近解,然后采用非正则奇点邻域附近的波函数级数解法与求得的渐近解相结合,通过幂级数系数比较法得到径向薛定谔方程在势函数系数紧密耦合条件下的一系列定态波函数解析解以及相应的能级结构,并作适当讨论与结论.
关键词:
级数解法
幂势函数
径向波函数
渐近解 相似文献
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The model of the Coulomb dressed potential is applied to solving the
problem of electron scattering for simplifying the calculation in the
electrostatic field and the excimer laser field. The introduction and
the application of the model are based on the electric dipole
approximation, so the contribution of the electric multipole is
neglected. In this paper, rigorous analysis and deduction are
carried out for the introduction of the dressed Coulomb potential
into the laser field. It is found that the introduction of the
dressed potential in the fractional form is feasible only when the
laser field (not including far ultraviolet field and x-ray) is a weak
field, i.e. the quiver radius of the free electron is smaller than
the atomic scale. In addition, the necessary analysis is also
conducted of the limitation of the application of the Coulomb dressed
potential. 相似文献
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Relationship between Scattered Photon Counts and Concentrations of Some Saline Solutions in Compton Scattering 总被引:3,自引:0,他引:3
Compton scattering saline solution was researched. Firstly according to the Compton scattering theory the linear relationship between the concentration and the scattered photon counts was obtained. And then it was proved by Compton scattering experiments for some solutions. According to those experiments, it was found that the slope was decreased when the atomic number of the cation was increased for alkali metal chloride solutions and alkaline-earth metal chloride solutions. Based on those relationships, a new method was promoted with which to measure the concentration of saline solution untouched the measured solution. 相似文献
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针对文科物理教材的内容,提出目前的教材对于文科学生来说有一定的难度.提出文科物理教材应与物理学史、人物传记、大学物理、自然哲学以及科学技术概论等相区别,指出文科物理不应该是“文科”性质物理学,而应该是文科学生易懂的物理学. 相似文献
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