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arXiv 0901.2129cond-mat.mtrl-sci
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碱金属卤化物中三维偏心Li ~+转子的本征值问题求解

3-D off-center Li+ rotors in alkali halides: solving for the eigenvalue problem

Mladen Georgiev

摘要:

本文研究了碱金属卤化物中偏心杂质离子对三维旋光体本征态和本征值的影响。离子沿着宽边帽状电子振动势的边缘运行。量子力学运动取决于两个角坐标,我们考虑沿θ的运动,平均φ,反之亦然。我们发现偏离中心的离子进行两次旋转:一次是在(x,y)平面上沿着方位角φ旋转,另一次是沿着位置角θ旋转,这两次旋转都被描述为马蒂厄非线性振荡器。沿z的运动由非谐振动模式补充。

英文摘要:

We are dealing with the long-standing problem of the eigenstates and eigenvalues of 3-D rotators by off-center impurity ions in alkali halides. The ion runs along the brim of a sombrero-like vibronic potential. The quantum-mechanical motion depending on two angular coordinates, we consider the motion along theta at averaged phi, and vice versa. We find the off-center ion performing two rotations: one in (x,y) plane along the azimuth phi and another one along the position angle theta, respectively, which are both described as Mathieu's non-linear oscillators. The motion along z is complemented by an anharmonic vibrational mode.

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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