论文标题
多体绿色的电子和核的功能理论的精确分解
Exact factorization of the many-body Green's function theory of electrons and nuclei
论文作者
论文摘要
我们将最近开发的电子和核的多体绿色功能理论与波函数的确切分解结合在一起。现有的未经烟雾症格林的功能被证明是我们确切方法的特殊情况。我们考虑了绿色功能理论的实验室框架公式的局限性，并讨论了为什么需要超越未经脑的框架理论。我们提供了根据确切的分解状态编写的电子和核绿色功能的精确形式，从而提供了超越未脑的近似值的系统方法。发现确切的电子绿色功能的最低阶近似值是Born-Oppenheimer电子Green相对于核密度的期望值。
We combine the recently developed many-body Green's function theory for electrons and nuclei with the exact factorization of the wave function. The existing Born-Oppenheimer Green's functions are shown to be special cases of our exact approach. We consider the limitations of the laboratory frame formulation of the Green's function theory and discuss why the body-fixed frame formulation is needed in order to go beyond the Born-Oppenheimer theory. We give exact forms of the electronic and nuclear Green's functions written in terms of the exact factorized states, providing a systematic approach beyond the Born-Oppenheimer approximation. The lowest order approximation to the exact electronic Green's function is found to be an expected value of the Born-Oppenheimer electronic Green's function with respect to the nuclear density.
