 ##  [Semiclassical Limit](/semiclassical-limit) 

  ##  [Semiclassical Limit](https://natural.quantumdictionary.io/semiclassical-limit-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

The regime or approximation in which quantum systems are described using classical variables with leading-order quantum corrections, often formalized as ħ→0 asymptotics.

 
 ##  [Semiclassical Limit](https://puremath.quantumdictionary.io/semiclassical-limit-1) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

An asymptotic regime in which a small parameter (commonly Planck's constant h) tends to zero, linking quantum operators and wave phenomena to classical Hamiltonian dynamics and ray optics through microlocal and asymptotic analysis.