谐振子本征函数展开、量子点和有效相互作用
Harmonic oscillator eigenfunction expansions, quantum dots, and effective interactions
摘要：
我们给出了一个彻底的分析的收敛性能的组态相互作用方法，适用于抛物量子点等系统，包括\emph{a priori}误差估计。该方法收敛缓慢，一般来说，为了克服这一点，我们建议使用一个有效的两体相互作用众所周知的核物理。通过数值实验，我们证明了一个显着的提高精度的组态相互作用方法。
英文摘要：
We give a thorough analysis of the convergence properties of the configuration-interaction method as applied to parabolic quantum dots among other systems, including \emph{a priori} error estimates. The method converges slowly in general, and in order to overcome this, we propose to use an effective two-body interaction well-known from nuclear physics. Through numerical experiments we demonstrate a significant increase in accuracy of the configuration interaction method.
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