 ##  [Phase Space](/phase-space) 

  ##  [Phase Space](https://natural.quantumdictionary.io/phase-space-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

The Cartesian manifold whose coordinates encode the complete instantaneous state of a dynamical system (typically positions and conjugate momenta), in which system evolution is represented by trajectories or flows.

 
 ##  [Phase Space](https://mathlogic.quantumdictionary.io/phase-space-1) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A space in which each point represents a complete state of a system with canonical coordinates typically pairing positions and momenta; it is equipped with a symplectic or similar structure that encodes the geometry of Hamiltonian dynamics.