Born approximation
= Born approximation
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{wiki}
= First Born approximation
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The Born approximation replaces the unknown total field inside a scattering integral by the known incident field, thereby retaining only single scattering. In nonrelativistic quantum mechanics, first-order Lippmann-Schwinger iteration gives
$$
f(\mathbf k',\mathbf k)=-\frac{m}{2\pi\hbar^2}\widetilde V(\mathbf k'-\mathbf k).
$$