论文标题
对于时间依赖的Kohn-Sham方程的解决方案的存在和独特性以及经典的核动力学
Existence and uniqueness of solutions to the time-dependent Kohn-Sham equations coupled with classical nuclear dynamics
论文作者
论文摘要
我们证明了解决与牛顿核动力学相关的一类时间依赖的Kohn-Sham方程相关的初始值问题解决方案的存在和唯一性。我们在局部密度近似（LDA）的概括中考虑纯电交换项，确定了$ h^2 $解决方案对Kohn-Sham方程的存在和独特性的一系列指数。
We prove existence and uniqueness of solutions to the initial-value problem associated with a class of time-dependent Kohn-Sham equations coupled with Newtonian nuclear dynamics. We consider a pure power exchange term within a generalisation of the Local Density Approximation (LDA), identifying a range of exponents for the existence and uniqueness of $H^2$ solutions to the Kohn-Sham equations.
