##  [S-Matrix](/s-matrix) 

  ##  [S-Matrix](https://quantummech.quantumdictionary.io/s-matrix-1) 

  

 [![Quantum Mechanics Dictionary](/sites/default/files/styles/large/public/2026-01/Quantum%20Mechanics.png.webp?itok=tC_FGCW0)](/topic-specific-dictionaries/modern-physics/quantum-mechanics)

- 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](https://natural.quantumdictionary.io/s-matrix-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)



**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.