S-Matrix

- Modern Physics -
Quantum Mechanics Dictionary
Definition

A scattering concept defining how incoming states evolve into outgoing states due to an interaction region or potential. It governs amplitudes, cross sections, and phase information obtained from asymptotic boundary conditions. It does not provide valid predictions without correct normalization conventions and an interaction model consistent with observed regimes.

S-Matrix

Natural & Formal Sciences Dictionary
Definition
An operator or matrix that maps asymptotic incoming states to asymptotic outgoing states in scattering processes, encoding transition amplitudes, cross sections and resonance information for interactions observed at long times and large distances.