论文标题
哈伯德模型的基态能量和Hartree Fock近似
Ground state energies of the Hubbard models and the Hartree Fock approximation
论文作者
论文摘要
根据“民间知识”，应用于Hubbard模型的Hartree-Fock（H-F）近似在小耦合$ U $的极限上变得精确（较小的$ | U | $，H-F近似值越好）。在\ cite {bp} bach和poelchau中，通过对最简单的Hubbard模型的最简单版本的真实基础能量与H-f近似值之间的差异进行严格估算，从而证实了这种断言的某种版本。在本文中，我们将其结果扩展到两个方向：i）我们放宽了关于跳跃矩阵的严格翻译不变性的假设，ii）我们证明了一类多版Hubbard模型的类似估计值。
According to the `folk knowledge', the Hartree-Fock (H-F) approximation applied to the Hubbard model becomes exact in the limit of small coupling $U$ (the smaller $|U|$, the better is the H-F approximation). In \cite{BP} Bach and Poelchau have substantiated a certain version of this assertion by providing a rigorous estimate of the difference between the true ground-state energy of the simplest version of the Hubbard model and the H-F approximation to this quantity. In this paper we extend their result in two directions: i) we relax the assumption about the strict translational invariance of the hopping matrix, ii) we prove an analogous estimate for a class of multiband Hubbard models.
