单粒子系统的密度泛函观点
A density functional perspective for one-particle systems
摘要：
密度泛函理论是在单粒子系统的背景下讨论的。我们表明，基态密度$ρ_0(x)$和能量$E_0$是简单地与一个家庭的外部势能函数与基态波函数$ψ_n(x) \propto ρ_0(x)^n$和能量$E_n=2nE_0$为某些整数值的$n$。
英文摘要：
Density functional theory is discussed in the context of one-particle systems. We show that the ground state density $ρ_0(x)$ and energy $E_0$ are simply related to a family of external potential energy functions with ground state wave functions $ψ_n(x) \propto ρ_0(x)^n$ and energies $E_n=2nE_0$ for certain integer values of $n$.
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