 ##  [Scattering Resonance](/scattering-resonance) 

  ##  [Scattering Resonance](https://mathlogic.quantumdictionary.io/scattering-resonance-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A complex pole of the meromorphically continued resolvent or scattering matrix (or the analytic continuation of the Green's function) that represents quasi-bound or long-lived oscillatory modes associated with an obstacle, potential, or boundary; resonances generalize eigenvalues to open systems and encode decay rates and oscillation frequencies.

 
 ##  [Scattering Resonance](https://puremath.quantumdictionary.io/scattering-resonance-1) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

A complex pole of the meromorphically continued resolvent or scattering matrix that represents a metastable or quasi‑bound state in a scattering problem; its real part gives the oscillation frequency and its imaginary part the decay rate.