Provides an overview of the electron's role in quantum science, focusing on its wave-particle duality and the mathematical framework of quantum mechanics.
Covers elastic scattering of fast electrons and their interactions with matter, including the derivation of the Mott formula and effective refractive index.
Explores the link between linear algebra and wave mechanics, focusing on operators, self-adjoint nature, Brillouin Zone, and a probabilistic approach to diffusion.
Explores enhancing machine learning predictions by refining error metrics and applying constraints for improved accuracy in electron density predictions.
Covers quantum mechanics exercises on spatial interference and coupling between oscillators, emphasizing independent problem-solving and the implications of measurement in quantum systems.
Explores the theory of quasi-convexity in variational problems from continuum mechanics, discussing its principles, applications, and relationship with convexity.