The Born series is the Neumann series expansion of the Lippmann-Schwinger equation. Its terms describe successive orders of wave scattering; convergence is ensured, for example, by a scattering operator norm smaller than one.
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The Born series, named after Max Born, refers to a sequence of terms used in quantum mechanics to solve problems involving scattering processes. The Born series is particularly relevant in the context of the scattering theory where it provides an iterative method for calculating the scattering amplitude. The Born series is often expressed as a power series expansion in terms of the interaction potential \( V \) in the context of the time-independent Schrödinger equation.