Proton Barrier Penetration: Transmission Coefficient Calculation

This lecture discusses the calculation of the transmission coefficient for a proton with kinetic energy incident on a potential barrier. Starting with the Schrödinger equation, the lecture covers the wave functions in different regions, boundary conditions, and the determination of the transmission coefficient. Through detailed mathematical derivations, the instructor guides the audience in understanding the key concepts behind barrier penetration. The lecture concludes with the application of the transmission coefficient to determine the average time required for a proton to pass through the barrier, showcasing the significance of quantum mechanics in particle behavior.