##  [Scattering Matrix](/scattering-matrix) 

  ##  [Scattering Matrix](https://puremath.quantumdictionary.io/scattering-matrix-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An operator that maps incoming asymptotic states to outgoing asymptotic states in a scattering process; it encodes phase shifts, amplitudes, and conservation properties of the scattering system and is analytic in energy with unitary symmetry on the real axis for self‑adjoint dynamics.