Quantum Continuum Mechanics for Many-Body Systems - IPAM at UCLA

Explore a comprehensive lecture on quantum continuum mechanics for many-body systems presented by Giovanni Vignale from the University of Missouri-Columbia. Delve into the application of classical continuum mechanics principles to quantum many-body systems across all length scales, supported by time-dependent current density functional theory. Discover how the Heisenberg equation of motion for current density in many-body systems can be closed by expressing the quantum stress tensor as a functional of current density. Examine the "anti-adiabatic" approximation scheme and its emergence from a variational Ansatz for time-dependent many-body wave functions. Learn about the advantages of this approach over conventional Kohn-Sham density and current-density functional methods, particularly for large systems exhibiting strongly collective behavior. Explore practical applications through calculations of excitation energies in model systems and discuss potential improvements and generalizations, including the incorporation of dissipation, ion dynamics, electron-ion coupling, and electromagnetic fields.