Difference between revisions of "Phase space"
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=== Applications === | === Applications === | ||
Latest revision as of 20:07, 2 November 2016
In mathematics and physics, a phase space of a dynamical system is a mathematical space in which all possible states of a system are represented, with each possible state corresponding to one unique point in the phase space.
Contents
Description
For mechanical systems, the phase space usually consists of all possible values of position and momentum variables.
The concept of phase space was developed in the late 19th century by Ludwig Boltzmann, Henri Poincaré, and Willard Gibbs.
See also
General
- Phase line, 1-dimensional case
- Phase plane, 2-dimensional case
- Phase portrait
- Phase space method
- Parameter space
- Separatrix
- State space
Applications
- Optical phase space
- State space (controls) for information about state space (similar to phase state) in control engineering.
- State space for information about state space with discrete states in computer science.
- Molecular dynamics
Mathematics
Physics
- Classical mechanics
- Hamiltonian mechanics
- Lagrangian mechanics
- State space (physics) for information about state space in physics
- Phase space formulation of quantum mechanics
External links
- Phase space @ Wikipedia.org
