Quantum Mechanics: Potential Jump and Tunnel Effect

This lecture covers the concepts of potential jump and tunnel effect in quantum mechanics. It discusses unbound states, transmission regimes, and the behavior of particles encountering potential barriers. The instructor explains the implications of energy levels relative to potential heights and the distinction between classically accessible and prohibited areas. The lecture delves into the mathematical formalism of eigenstates, wave functions, and the normalization conditions required for unbound states. It also explores the solutions for particles encountering potential leaps and barriers, including reflection and transmission coefficients. The analogy with classical physics and electromagnetic waves is highlighted, along with the implications of different energy scenarios on particle behavior.