Abstract

For a 1D Ising model, we obtained an exact expression for the spectral density in an n-vicinity of the ground state and explained why our n-vicinity method with the Gaussian approximation of the spectral density did not applicable in this case. We also found an analytical expression for the distribution of magnetization at an arbitrary temperature. When the temperature tends to zero the distribution of magnetization gradually flattens.

中文翻译：

---

n邻近法和一维伊辛模型

摘要

对于一维伊辛模型，我们获得了基态n邻域中光谱密度的精确表达式，并解释了为什么我们的具有谱高斯近似的n邻域方法在这种情况下不适用。我们还找到了在任意温度下磁化强度分布的解析表达式。当温度趋于零时，磁化分布逐渐变平。