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 quantum mechanics exercises on spatial interference and coupling between oscillators, emphasizing independent problem-solving and the implications of measurement in quantum systems.
Covers the Calculus of Variations to find ground states in quantum mechanics by minimizing energy, discussing the Euler Lagrange equation and the Fundamental Theorem of Young Measure Theory.
Explores enhancing machine learning predictions by refining error metrics and applying constraints for improved accuracy in electron density predictions.
Explores the link between linear algebra and wave mechanics, focusing on operators, self-adjoint nature, Brillouin Zone, and a probabilistic approach to diffusion.
