Second-order response Bethe-Salpeter equation
|Title||Second-order response Bethe-Salpeter equation|
|Publication Type||Palaiseau Article|
|Publisher||American Physical Society|
|Year of Publication||2011|
|Journal||Phys. Rev. A|
A Bethe-Salpeter equation for the three-particle correlation function is derived, representing a second-order response generalization of the usual Bethe-Salpeter equation. The equation can be solved formally, giving the three-particle correlation function in terms of the two-particle correlation function and many-body interaction kernels. The similarity to second-order response time-dependent density-functional theory can be used to improve the understanding of the higher-order exchange and correlation kernels of this theory. An exact expression for such a kernel is derived.