Time-dependent Schrödinger Equation

The time-dependent Schrödinger equation is a fundamental formula in quantum physics that describes how the state of a quantum system, such as an electron, changes over time. It uses a mathematical function called the wavefunction, which encodes the probabilities of finding a particle in different places and states. The equation relates this wavefunction's evolution to the energy and forces acting on the system. Essentially, it predicts how quantum states evolve, allowing scientists to understand and calculate the behavior of particles at the atomic and subatomic levels over time.