Solver for the electronic V-representation problem of time-dependent density functional theory

Autor: Brown, James, Yang, Jun, Whitfield, James D
Rok vydání: 2019
Předmět:
Zdroj: J. Chem. Theory Comput. 2020, 16, 10, 6014-6026
Druh dokumentu: Working Paper
DOI: 10.1021/acs.jctc.9b00583
Popis: One route to numerically propagating quantum systems is time-dependent density functional theory (TDDFT). The application of TDDFT to a particular system's time evolution is predicated on $V$-representability which we have analyzed in a previous publication. Here we describe a newly developed solver for the scalar time-dependent Kohn-Sham potential. We present and interpret the force-balance equation central to our numerical method, describe details of its implementation, and present illustrative numerical results for one- and two-electron systems. A new characterization of $V$-representability for one-electron systems is also included along with possible improvements and future directions.
Comment: 23 pages, 2 figures. arXiv admin note: text overlap with arXiv:1503.00248
Databáze: arXiv