周期边界条件下格点费米子系统中的多体位置算符
Many-body position operator in lattice fermionic systems with periodic boundary conditions
摘要：
对于周期边界条件的格点费米子系统，导出了位置表象中的总位置算符$X$。该运营商被证明是厄米，发电机的动量空间中的翻译，其时间导数被证明是对应于总电流运营商在一个周期性的系统。算子是这样的，它的矩可以计算到任何阶。为了证明其效用有限尺寸标度适用于布林克曼-赖斯过渡以及金属和绝缘Gutzwiller波函数。
英文摘要：
A total position operator $X$ in the position representation is derived for lattice fermionic systems with periodic boundary conditions. The operator is shown to be Hermitian, the generator of translations in momentum space, and its time derivative is shown to correspond to the total current operator in a periodic system. The operator is such that its moments can be calculated up to any order. To demonstrate its utility finite size scaling is applied to the Brinkman-Rice transition as well as metallic and insulating Gutzwiller wavefunctions.
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