Quantum Physics I

This lecture introduces a generalization of the Schrödinger equation, discussing the evolution of quantum systems with time-dependent Hamiltonians. The concept of time evolution operators and their complex forms is explored, emphasizing the differences between the Schrödinger and Heisenberg pictures. The lecture delves into the resonance phenomenon in quantum systems, illustrating how it can be observed and utilized in various fields, such as nuclear physics and magnetic resonance imaging. Additionally, a detailed explanation of the molecular ammonia system is provided, showcasing the unique quantum behavior of spin states and the experimental verification of theoretical predictions.