Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hamiltonian_systems
gptkb:Lagrangian_systems |
| gptkbp:basisFor |
gptkb:Liouville's_theorem
gptkb:Poincaré_section phase portrait |
| gptkbp:coordinates |
gptkb:position
momentum |
| gptkbp:describes |
all possible states of a system
|
| gptkbp:dimensions |
2n (for n degrees of freedom)
|
| gptkbp:introduced |
gptkb:Ludwig_Boltzmann
gptkb:Josiah_Willard_Gibbs |
| gptkbp:relatedConcept |
state space
|
| gptkbp:used_in |
gptkb:classical_mechanics
gptkb:statistical_mechanics dynamical systems physics quantum mechanics |
| gptkbp:usedFor |
analyzing trajectories
describing ensembles studying chaos |
| gptkbp:visualizes |
multi-dimensional space
|
| gptkbp:bfsParent |
gptkb:Hamiltonian_mechanics
gptkb:Weyl_quantization gptkb:Wigner_distribution_function |
| gptkbp:bfsLayer |
5
|
| https://www.w3.org/2000/01/rdf-schema#label |
phase space
|