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arXiv 0912.2120math-phmath.MP
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中心场模型势共振态的精确计算

Accurate calculation of resonances for a central-field model potential

Francisco M. Fernández

摘要:

本文用有理逼近波函数对数导数的方法,得到了具有中心场势的薛定谔方程的精确共振能。我们讨论了我们的方法的收敛速度,并比较目前的结果与其他作者较早获得的。我们表明,目前的方法是优于球箱的方法最近应用到同一问题。据我们所知,目前的结果比文献中提供的更准确,可能是一个合适的基准测试未来的方法。

英文摘要:

We obtain accurate resonance energies for the Schrödinger equation with a central--field potential by means of a method based on a rational approximation to the logarithmic derivative of the wavefunction. We discuss the rate of convergence of our approach and compare present results with those obtained earlier by other authors. We show that present method is superior to the spherical--box approach applied recently to the same problem. As far as we know present results are more accurate than those available in the literature and may be a suitable benchmark for testing future approaches.

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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