论文标题
量子力学中潜在的状态图的某些特性
Some properties of the potential-to-ground state map in quantum mechanics
论文作者
论文摘要
我们在静态多体量子力学中分析了从电势到基态的地图。我们首先证明结合电势的空间是路径连接的。然后，我们证明该地图是局部弱的连续性，其差异是紧凑的。特别是，这意味着Kohn-Sham反问题的不良性。
We analyze the map from potentials to the ground state in static many-body quantum mechanics. We first prove that the space of binding potentials is path-connected. Then we show that the map is locally weak-strong continuous and that its differential is compact. In particular, this implies the ill-posedness of the Kohn-Sham inverse problem.
