Details

Autor(en) / Beteiligte

• PENZ, M
• RUGGENTHALER, M

Titel

Domains of time-dependent density-potential mappings

Ist Teil von

• Journal of physics. A, Mathematical and theoretical, 2011-08, Vol.44 (33), p.335208-7

Ort / Verlag

Bristol: IOP

Erscheinungsjahr

2011

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The key element in time-dependent density functional theory is the one-to-one correspondence between the one-particle density and the external potential. In most approaches, this mapping is transformed into a certain type of Sturm-Liouville problem. Here we give conditions for existence and uniqueness of solutions and construct the weighted Sobolev space they lie in. As a result, the class of v-representable densities is considerably widened with respect to previous work.