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arXiv 1209.0195quant-phphysics.chem-ph
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二维量子偶极矩的束缚态

Bound states for the quantum dipole moment in two dimensions

Paolo Amore, Francisco M Fernández

摘要:

我们精确计算了二维量子偶极子的薛定谔方程的本征值和本征函数。该模型对研究单个刃型位错的弹性效应是有用的。我们表明,瑞利-里兹变分法与Slater型函数的基组是相当有效的比相同的方法与在早期的计算中使用的二维氢原子的点谱本征函数的基组。

英文摘要:

We calculate accurate eigenvalues and eigenfunctions of the Schrödinger equation for a two-dimensional quantum dipole. This model proved useful for the study of elastic effects of a single edge dislocation. We show that the Rayleigh-Ritz variational method with a basis set of Slater-type functions is considerably more efficient than the same approach with the basis set of point-spectrum eigenfunctions of the two-dimensional hydrogen atom used in earlier calculations.

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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