论文标题

时间依赖的交换相关潜力代替自我能量

Time-dependent exchange-correlation potential in lieu of self-energy

论文作者

Aryasetiawan, Ferdi

论文摘要

结果表明,相互作用的多电子系统的单粒子绿色函数的运动方程受到乘级时间依赖性交换相关电位的控制,这是时间依赖性交换相关孔的库仑电位。这个交换相关孔满足了一个和规则,这是对静态交换相关孔的众所周知总和规则的概括。可以预见,提出的形式主义可以通过找到适合基于局部密度近似值的交换相关孔或电位的近似值来提供替代途径来计算绿色功能。

It is shown that the equation of motion of the one-particle Green function of an interacting many-electron system is governed by a multiplicative time-dependent exchange-correlation potential, which is the Coulomb potential of a time-dependent exchange-correlation hole. This exchange-correlation hole fulfills a sum rule, a generalization of the well-known sum rule of the static exchange-correlation hole. It is envisaged that the proposed formalism may provide an alternative route for calculating the Green function by finding a suitable approximation for the exchange-correlation hole or potential based on, e.g., a local-density approximation.

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