Schrödinger Equation

The Schrödinger equation describes how the quantum state of a physical system changes over time. In its most general form, it is written as: \[ i\hbar \frac{\partial \psi}{\partial t} = \hat{H} \psi \] where \( \psi \) is the wave function of the system, \( \hbar \) is the reduced Planck constant, and \( \hat{H} \) is the Hamiltonian operator.