Time-Dependent Perturbation Theory

Time-dependent perturbation theory is a method used in quantum mechanics to analyze how a system's state changes when it experiences a small, time-varying influence. Imagine a quantum system like an electron in an atom, and the perturbation is an external force or field that varies with time. This theory helps predict how the probabilities of the system transitioning between different energy states evolve over time. It's essential for understanding phenomena like atomic absorption of light or radiation interactions, providing a mathematical framework to analyze the dynamic response of quantum systems to external disturbances.