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arXiv 0901.1344cond-mat.mtrl-sciphysics.chem-ph
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非绝热电子动力学的含时密度泛函理论

Time dependent density functional theory for nonadiabatic electronic dynamics

Vinod Krishna

摘要:

我们证明了在给定相互作用系统的初始密度矩阵的情况下,耦合到核自由度的相互作用电子系统的含时单电子核密度矩阵可以精确地由具有任意指定的电子-电子相互作用的耦合到相同核自由度的电子系统的密度矩阵来再现.这种形式使严格的含时密度泛函理论的建设,研究非绝热电子动力学。作为绝热极限的特例,我们得到了Runge-Gross定理和Van Leeuwen定理。

英文摘要:

We show that the time dependent single electron, nuclear density matrix of an interacting electronic system coupled to nuclear degrees of freedom can be exactly reproduced by that of an electronic system with arbitrarily specified electron-electron interactions coupled to the same nuclear degrees of freedom, given the initial density matrix of the interacting system. This formalism enables the construction of rigorous time dependent density functional theories to study nonadiabatic electronic dynamics. We obtain the Runge-Gross and Van Leeuwen theorems as special cases in the adiabatic limit.

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