Numerical Methods for Schrödinger Equation

This lecture covers numerical methods to solve the time-dependent Schrödinger equation, starting with the representation of wave functions on a grid with n points and discussing the common idiom change of representation via Fourier transform. It also delves into the split-operator algorithm, second-order methods, and the Crank-Nicolson method for approximating the solution. The instructor emphasizes the importance of accurate discretization and provides insights into the algorithmic details and mathematical foundations behind these numerical techniques.