基于C++编程确定同科电子体系的光谱项

删除法则可以方便快捷地确定3个同科电子体系的光谱项.而对大于3个的同科电子体系,人工导出删除法则的工作量相当大.在介绍了删除法则的基本原理之后,本文详细叙述了利用计算机编程来导出删除法则的思路,并以8个同科电子体系为例,对程序结果进行了验证.该程序具有直接确定多个同科电子体系光谱项的优点,完善了删除法则.     

同科电子光谱项的计算机C语言程序设计

利用计算机C语言编程实现了多个同科电子的删除法则,设计出了n个自旋方向相同的同科电子“等效排列”的C语言程序算法,给出了具体程序并用实例验证了其正确性.     

应用"Maple"数学软件来推求同科电子光谱项

推求光谱项对于研究原子的结构和光谱十分重要.怎样确定复杂的多电子原子体系的光谱项是原子物理学研究的重要内容之一.受泡利原理的限制,含有多个同科电子的原子电子组态的光谱项的推求一直是原子物理学,结构化学等学科研究的难点,人工方法推求其谱项困难很大.本文根据同科电子在L-S耦合下量子数取值的组合特点,推出了总轨道磁量子数为ML时出现次数的计算公式,结合Maple数学软件,给出了一种推求同科电子光谱项的新方法.根据该公式,使用Maple数学软件,能快速、准确的求得同科电子在L-S耦合下的光谱项.文中我们举例应用该方法,具体推求了同科电子体系d3,f7电子组态在L-S耦合下的光谱项,所得结果与文献给出的一致.     

自旋因式化法推求同科电子组态原子光谱项

以同科电子i3组态光谱项推求为例,提出了用自旋因式化方法推求同科电子光谱项的一般方法.该法较为简单、适用,易于推广,可求出任一基态或激发态原子或离子光谱项.     

两个电子耦合的原子态

讨论两个电子角动量本证函数耦合的对称性， 推证出所谓同ｊ全等同基矢组耦合态函数的对称性．再 讨论两个电子Ｌ—Ｓ、ｊ－ｊ耦合原子态的确定，对同科 电子的情况归结为简便的判定法则．     

由电子组态耦合成原子态时常出现的两个问题

由一电子组态经L-S耦合成原子态时,不仅在学生中,而且在一些出版物中[1],常常出现以下两个问题. 1.把同科电子当作非同科电子处理,忽略了泡利不相容原理的限制,得出了一些实际上不存在的谱项[1]. 如(up)3组态,可用列表法找其谱项.按泡利不相容原理,并考虑到磁量子数取值的对称性,表中只要列出ML≥0和Ms≥0的值即可,因为负值不能给出任何新的东西[2].由表1可得(up)3组态形成的所有可能谱项为,2D5/2、3、/2,2P3/2、1/2,4S3/2。比非同科电子情况形成的光谱项(见表2),要少得多. 2.在非同科电子耦合时,不明确重复出现的量子数的物理实质,从而…     

同科电子L－S耦合原子态的确定

给出一种确定同科电子Ｌ－Ｓ耦合原子态的简便方法，同时指出如果两个同科电子组态的电子数之和等于该支壳层上的电子数，那么这两个同科电子组态具有相同的原子态．     

确定同科电子原子谱项的偶数定则

本文提出同科电子体系在Ｌ－Ｓ耦合中必须遵守偶数定则，并加以理论论证，利用偶数定则可以很方便地确定二个同科电子所形成的原子谱项．     

两个电子L-S耦合原子谱项的确定

本文阐明两个同科、非同科电子空间耦合态函数的对称性不同，导致它们 Ｌ－Ｓ耦合所组成的原子谱项不一样．     

应用Matlab推求等效电子的光谱项

阐述了用Matlab的函数推求等效电子LS耦合的光谱项的方法,具体推求了3个等效d电子和6个等效f电子组态的光谱项。     

Generalized uncertainty principle and tunnelin gradiation of the SAdS5 black hole

After considering the generalized uncertainty principle, we discuss the quantum tunneling radiation of a five-dimensional Schwarzschild anti de Sitter black hole. The radiation spectrum and the correction value of the Bekenstein-Hawking entropy are derived. In a five-dimensional black hole the one order correction term in the Bekenstein-Hawking entropy correction term is proportional to the third power of the area, and the logarithmic correction term is a two-order small quantity. The correction term is related to the dimension constant introduced in the generalized uncertainty principle. Because the black hole entropy is not divergent, the lowest value of the five-dimensional Schwarzschild anti de Sitter black hole horizon radius is obtained. After considering the generalized uncertainty principle, the radiation spectrum is still consistent with normalization theory.     

Generalized Uncertainty Principle and Correction Value to the Kerr Black Hole Entropy

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking black hole entropy. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the black hole entropy correction term. In this paper, we calculate the correction value of the black hole entropy by utilizing the generalized uncertainty principle and obtain the correction term caused by the generalized uncertainty principle. Because in our calculation we think that the Bekenstein-Hawking area theorem is still valid after considering the generalized uncertainty principle, we derive that the coefficient of the logarithmic term of the black hole entropy correction term is positive. This result is different from the known result at present. Our method is valid not only for single horizon spacetime but also for spin axial symmetric spacetimes with double horizons. In the whole process, the physics idea is clear and calculation is simple. It offers a new way for studying the entropy correction of the complicated spacetime.     

Generalized Uncertainty Principle and Black Hole Entropy of Higher-Dimensional de Sitter Spacetime

Recently, there has been much attention devoted to resolving the quantum corrections to the BekensteinHawking black hole entropy. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the black hole entropy correction term. In this paper, we calculate the correction value of the black hole entropy by utilizing the generalized uncertainty principle and obtain the correction term caused by the generalized uncertainty principle. Because in our calculation we think that the Bekenstein-Hawking area theorem is still valid after considering the generalized uncertainty principle, we derive that the coefficient of the logarithmic term of the black hole entropy correction term is positive. This result is different from the known result at present. Our method is valid not only for four-dimensional spacetimes but also for higher-dimensional spacetimes. In the whole process, the physics idea is clear and calculation is simple. It offers a new way for studying the entropy correction of the complicated spacetime.     

Generalized Uncertainty Principle and Quantum Electrodynamics

In the present work the role that a generalized uncertainty principle could play in the quantization of the electromagnetic field is analyzed. It will be shown that we may speak of a Fock space, a result that implies that the concept of photon is properly defined. Nevertheless, in this new context the creation and annihilation operators become a function of the new term that modifies the Heisenberg algebra, and hence the Hamiltonian is not anymore diagonal in the occupation number representation. Additionally, we show the changes that the energy expectation value suffers as result of the presence of an extra term in the uncertainty principle. The existence of a deformed dispersion relation is also proved.     

Generalized Uncertainty Principle and Black Hole Entropy of Higher-Dimensional de Sitter Spacetime

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-- Hawking black hole entropy. In particular, many researchers have expressed a vested interest in the coetticient of the logarithmic term of the black hole entropy correction term. In this paper, we calculate the correction value of the black hole entropy by utilizing the generalized uncertainty prlnciple and obtain the correction term caused by the generalized uncertainty principle. Because in our calculation we think that the Bekenstein-Hawking area theorem is still valid after considering the generalized uncertainty principle, we derive that the coefficient of the logarithmic term of the black hole entropy correction term is positive. This result is different from the known result at present. Our method is valid not only for four-dimensional spacetimes but also for higher-dimensional spacetimes. In the whole process, the physics idea is clear and calculation is simple. It offers a new way for studying the entropy correction of the complicated spacetime.     

孤立导体和多导体系统的广义Collin原则

将Collin原则应用于实际电容的上下界估值给出了很多简单而有用的结果.将这一原则全面推广到三维孤立导体及多导体系统，采用等表面积法估值给出了若干应用实例. 关键词： 孤立导体 三维多导体系统 广义Collin原则     

Determination of rovibronic term values of a diatomic molecule from experimental data on the wavenumbers of spectral lines

It has been shown that, if experimental data are available on the lines of the rovibronic spectrum of a diatomic molecule that pairwise couple three or more vibronic states, then there is a relation between the wavenumbers measured for the lines and the absolute values of all corresponding rovibronic term values. A method is proposed for determining the optimal set of rovibronic term values with error estimations by varying the desired values of the rovibronic term values so as to minimize the weighted standard deviation of the wavenumbers that are calculated according to the Rydberg-Ritz combination principle from the wavenumbers measured for a sufficiently large number of rovibronic spectral lines of various systems of bands. It is substantial that this method does not require any assumptions on the molecular structure. The new method is applied to determine the rovibronic term values of 12 singlet electronic states of the isotopomer ¹¹B¹H of the boron hydride molecule, which have already been studied experimentally, with the use of all available experimental data for 15 systems of bands, which are obtained in 10 works. Thus, the energy spectrum of the diatomic molecule has been determined from the experimental data on the wavenumbers of rovibronic spectral lines without any assumption on its structure.     

Canonical Entropy of Black Hole in the Generalized Uncertainty Principle

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking black hole entropy. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the black hole entropy correction term. In this paper, based on the correction to black hole thermodynamic quantity due to the generalized uncertainty principle, we calculate the partition function by energy spectrum obtained using tunneling effect. Furthermore we derive the black hole entropy. In the expression, we not only consider the generalized uncertainty principle but also consider the departure of black hole radiation spectrum from pure thermal spectrum. According to criterion law of thermodynamic systems phase transition, we discuss the phase transition of AdS black hole and derive that the phase transition of AdS black hole is a secondary one.     

Pair correlation functions for exchange and correlation in uniform spin densities

The correlation holes for densities of equal and opposite spin around a test electron are determined from the Schrödinger equation with proper boundary conditions. The traditional `exchange' term follows from the boundary condition which respects a spacial exclusion principle for equal spins. The resulting potential compares reasonably well with standard local density potentials and the approach is feasible for extensions towards non-local effects.