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

Understand

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.