论文标题
在非对角线的定理和Onishi公式上
On the off-diagonal Wick's theorem and Onishi formula
论文作者
论文摘要
基于非正交Bogoliubov产品状态的配置混合以及基于IT的更先进的方法的投影发电机坐标方法，需要计算非基因对汉密尔顿和NORM内核。尽管哈密顿核是通过Balian和Brezin的非对角线定理有效地计算出的，但标准核依赖于Onishi公式（或Robledo或Bally and Duguet等于PFAFFIAN公式或整体公式）。传统上，这两类公式的推导依赖于不同的形式方案。在目前的工作中，通过相同的图形方法始终计算运算符和标准内核的公式。该方法进一步提供了解决将来涉及更多一般国家的内核的可能性。
The projected generator coordinate method based on the configuration mixing of non-orthogonal Bogoliubov product states, along with more advanced methods based on it, require the computation of off-diagonal Hamiltonian and norm kernels. While the Hamiltonian kernel is efficiently computed via the off-diagonal Wick theorem of Balian and Brezin, the norm kernel relies on the Onishi formula (or equivalently the Pfaffian formula by Robledo or the integral formula by Bally and Duguet). Traditionally, the derivation of these two categories of formulae rely on different formal schemes. In the present work, the formulae for the operator and norm kernels are computed consistently from the same diagrammatic method. The approach further offers the possibility to address kernels involving more general states in the future.
