Domains of time-dependent density-potential mappings

Details Domains of time-dependent density-potential mappings Domains of time-dependent density-potential mappings

2011-03-10

arxiv.org/abs/1103.1983v2

J. Phys. A: Math. Theor. 44 (2011) 335208

Physics

Mathematical Physics

7 pages

Scientific paper

10.1088/1751-8113/44/33/335208

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.

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