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gptkbp:instanceOf
|
set of equations
|
|
gptkbp:application
|
gptkb:optics
gptkb:statistical_mechanics
celestial mechanics
quantum mechanics
|
|
gptkbp:basisFor
|
symplectic geometry
Poisson brackets
action-angle variables
canonical transformations
|
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gptkbp:canonicalForm
|
dp_i/dt = -∂H/∂q_i
dq_i/dt = ∂H/∂p_i
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gptkbp:category
|
gptkb:theoretical_physics
dynamical systems
partial differential equations
|
|
gptkbp:describes
|
evolution of a physical system
|
|
gptkbp:expressedIn
|
time evolution of generalized coordinates and momenta
|
|
gptkbp:field
|
gptkb:mathematics
physics
|
|
gptkbp:form
|
first-order differential equations
|
|
gptkbp:formedBy
|
gptkb:William_Rowan_Hamilton
|
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gptkbp:generalizes
|
gptkb:Newton's_laws_of_motion
|
|
gptkbp:hasSubfield
|
gptkb:classical_mechanics
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Hamilton's equations
|
|
gptkbp:introducedIn
|
1833
|
|
gptkbp:numberOfEquations
|
2n
|
|
gptkbp:relatedTo
|
gptkb:Lagrangian_mechanics
|
|
gptkbp:usedIn
|
gptkb:Hamiltonian_mechanics
|
|
gptkbp:variant
|
Hamiltonian function
generalized coordinates
generalized momenta
|
|
gptkbp:bfsParent
|
gptkb:meat
|
|
gptkbp:bfsLayer
|
3
|