有效算子的简化图解展开
Simplified diagrammatic expansion for effective operator
摘要：
对于量子多体问题，在约化模型空间中给出精确本征值的有效哈密顿算符与在约化模型空间中给出有效本征向量之间精确转移矩阵元的有效转移算符通常有不同的表达式、图解和求值规则。通过稍微修改这些图，并考虑相同阶的所有项的链接图，我们发现，评估规则可以使有效哈密顿量和有效转移算子图相同，并且在许多情况下，可以将许多图组合成一个修改后的图。我们给出的规则来评估这些修改图，并显示其有效性。
英文摘要：
For a quantum many-body problem, effective Hamiltonians that give exact eigenvalues in reduced model space usually have different expressions, diagrams and evaluation rules from effective transition operators that give exact transition matrix elements between effective eigenvectors in reduced model space. By modifying these diagrams slightly and considering the linked diagrams for all the terms of the same order, we find that the evaluation rules can be made the same for both effective Hamiltonian and effective transition operator diagrams, and in many cases it is possible to combine many diagrams into one modified diagram. We give the rules to evaluate these modified diagrams and show their validity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
