Quantum Wells: Energy Levels and Quantum States

This lecture discusses quantum wells, focusing on finite one-dimensional potential wells and their energy levels. The instructor explains the mathematical representation of quantum states, including the continuity of wave functions at interfaces. The concept of qubits is introduced, highlighting their coherent superposition of two states and the significance of controlling these parameters. The lecture also covers electronic waves, Coulomb potentials, and the hydrogen atom's emission spectrum. The instructor illustrates the differences between rectangular and Coulomb potentials, emphasizing the energy level dependencies. The discussion includes the stability of orbits in quantum mechanics, using the Bohr model as an example. The lecture concludes with an exploration of harmonic oscillators and their relevance in quantum physics, demonstrating how they apply to various physical systems. Overall, the lecture provides a comprehensive overview of quantum wells and their implications in quantum science.