Superconductors: Cooper Pairs and Quantum Mechanics

This lecture explores the differences between superconductors and normal conductors, focusing on the unique properties of superconductors such as Cooper pairs and their behavior in the presence of a magnetic field. The Lagrangian formalism is introduced to describe the classical dynamics of a harmonic LC oscillator, leading to the quantum Hamiltonian. The lecture delves into the quantum states of the harmonic oscillator, the AC Josephson effect, and the measurement of microwave resonators. The discussion also covers the Josephson junction, Josephson effect, and the concept of Josephson inductance, highlighting the quantum mechanical tunneling phenomena.