Showcases the advanced applications of the Scanning Tunneling Microscope beyond imaging, including spectroscopy for electronic properties and nanostructure assembly.
Covers quantum mechanics exercises on spatial interference and coupling between oscillators, emphasizing independent problem-solving and the implications of measurement in quantum systems.
Explores enhancing machine learning predictions by refining error metrics and applying constraints for improved accuracy in electron density predictions.
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.