New Dynamical Low-Complexity Approximations for the Schrödinger Equation

Watch a 53-minute conference talk exploring a novel variation formulation of the time-dependent many-body electronic Schrödinger equation with Coulombic singularities. Delve into how the solution can be expressed as a global space-time quadratic minimization problem, which proves valuable for Galerkin time-space discretization schemes, yields an alternative to the classical Dirac-Frenkel variational principle for constructing dynamical low-rank approximations, and enables fully certified a posteriori error estimators between exact and approximate solutions. Learn how this analysis applies to electronic many-body time-dependent Schrödinger equations involving any number of electrons and interaction potentials with Coulomb singularities. Recorded at the SIGMA thematic meeting at Centre International de Rencontres Mathématiques in Marseille, France, access this mathematical presentation through CIRM's Audiovisual Mathematics Library, complete with chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification for enhanced navigation and understanding.