Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only! Grab it Explore the fundamentals of density-functional theory in this 49-minute lecture from the Advanced Quantum ESPRESSO school. Delve into the concepts of Hubbard and Koopmans functionals from linear response, gaining valuable insights into advanced quantum mechanics and materials science. Part of the comprehensive curriculum offered by Materials Cloud, this lecture provides a solid foundation for understanding complex quantum systems and their applications in computational materials research.