On the existence of effective potentials in time-dependent density functional theory

作     者：Ruggenthaler, M. Penz, M. Bauer, D. 

作者机构：Max Planck Inst Kernphys D-69029 Heidelberg Germany Univ Innsbruck Inst Theoret Phys A-6020 Innsbruck Austria Univ Rostock Inst Phys D-18051 Rostock Germany 

出 版 物：《JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL》 (物理学学报A辑：数理与理论物理学)

年 卷 期：2009年第42卷第42期

页      面：425207-425207页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：Deutsche Forschungsgemeinschaft 

主　　题：EXISTENCE theorems POTENTIAL theory (Physics) DENSITY functionals STURM-Liouville equation -- Numerical solutions BOUNDARY value problems -- Numerical solutions 

摘      要：We investigate the existence and properties of effective potentials in time-dependent density functional theory. We outline conditions for a general solution of the corresponding Sturm-Liouville boundary value problems. We define the set of potentials and v-representable densities, give a proof of existence of the effective potentials under certain restrictions and show the set of v-representable densities to be independent of the interaction.