The Schrödinger Equation is a fundamental equation in quantum mechanics that describes how the quantum state of a physical system changes over time. It is essential for understanding the behavior of particles at the atomic and subatomic levels, providing a way to calculate the probability of finding a particle in a particular state or position. Developed by physicist Erwin Schrödinger in 1925, the equation is often represented in two forms: time-dependent and time-independent. The solutions to the Schrödinger Equation yield wave functions, which encapsulate all the information about a quantum system, allowing scientists to predict outcomes of measurements and interactions.