对一维海森堡链格点中不同电子自旋交换如何构成及所构成的能量矩阵进行讨论,为纠缠度和量子计算提供重要依据.研究方法是:一维海森堡链格点被电子填充分为单、双占据及二者共存三种情况.相邻格点中电子自旋交换分两类,第Ⅰ类:相邻格点最相邻电子自旋交换;第Ⅱ类:"间隔"交换,分为"左间隔"与"右间隔"两种交换(即格点左(右)侧电子与相邻格点左(右)侧电子自旋之间的交换).将一维海森堡体系的哈密顿算符作用于完备基矢(用置换群所构建)形成能量矩阵.计算结果: (1)位型[4,2]的第Ⅰ类自旋交换在格点单、双占据及格点单、双占据共存三种情况时所得矩阵只在对称填充时相同,别况均不同. (2)位型[4,2]在格点双占据的第Ⅱ类与第Ⅰ类自旋交换所形成的矩阵只在格点被对称填充时相同,别况均不同;自旋"左间隔"交换与"右间隔"交换时,同样哈密顿算符作用于同样完备基矢所得矩阵有些相同,有些不同.最后说明所计算的不同位型矩阵的规律及研究意义.
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