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arXiv 1105.2190physics.chem-phmath-phmath.MPquant-ph
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用光谱生成代数方法研究某些双原子分子的光谱

Spectroscopic Studies of Some Diatomic Molecules using Spectrum Generating Algebra Approach

K. J. Oyewumi, K. D. Sen

摘要:

对于任意值的n和l量子数,利用SU(1,1)谱生成代数(SGA)方法给出了具有赝谐势的三维Schrodinger波动方程的解.得到了显式的束缚态能量和本征函数。矩阵元素r2和r d/dr直接从产生和湮灭算子获得(以封闭形式)。此外,还得到了双原子分子(O_2,I_2,N_2,H_2,CO,NO,HCl,CH,LiH,ScH,TiH,VH,CrH,MnH,TiC,NiC,ScN,ScF,Ar_2)在任意n和l量子数下的r ~ 2和p ~ 2的期望值以及海森堡测不准积(HUP).所得结果与文献中的结果非常吻合。它也表明,HUP服从所有考虑的双原子分子。

英文摘要:

For arbitrary values n and l quantum numbers, we present the solutions of the 3-dimensional Schrodinger wave equation with the pseudoharmonic potential via SU(1,1) Spectrum Generating Algebra (SGA) approach. The explicit bound state energies and eigenfunctions are obtained. The matrix elements r2 and r d/dr are obtained (in a closed form) directly from the creation and annihilation operators. In addition, the expectation values of r2 and p2 and the Heisenberg Uncertainty Products (HUP) for set of diatomic molecules (O2, I2, N2, H2, CO, NO, HCl, CH, LiH, ScH, TiH, VH, CrH, MnH, TiC, NiC, ScN, ScF, Ar2) for arbitrary values of n and l quantum numbers are obtained. The results obtained are in excellent agreement with the available results in the literature. It is also shown that the HUP is obeyed for all diatomic molecules considered.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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