S-matrix
= S-matrix
{c}
{title2=$S$}
{wiki}
= Scattering matrix
{synonym}
= Scattering operator
{synonym}
The <S-matrix> maps incoming asymptotic states to outgoing asymptotic states. Its connected transition matrix elements contain an overall energy-momentum <Dirac delta function> and an invariant <scattering amplitude>. In <quantum field theory>, the <LSZ reduction formula> obtains these elements from amputated field correlators.