Lippmann-Schwinger Equation

The Lippmann-Schwinger equation is a fundamental tool in quantum mechanics used to describe how particles, like electrons, scatter when they encounter a potential or obstacle. It expresses the particle's overall state as the combination of its free (unaffected) state and the effect of the scattering potential, capturing how the particle's wave function changes due to interactions. Essentially, it provides a way to calculate the new, scattered wave by relating it to the initial wave and the potential, enabling precise predictions of scattering outcomes in quantum systems.