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A function whose Euler–Lagrange equations determine classical trajectories.
wp-physics-lagrangian_mechanicsnlab-physics-lagrangiancambridge-classical-dynamicsEach relation below ends at this concept.
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For particle mechanics, .
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-physics-lagrangian_mechanicsnlab-physics-lagrangianwp-physics-action_functionalnlab-physics-action_functionalThis is an authored directed relation from the source endpoint to the target endpoint.
Canonical momentum is obtained by differentiating the Lagrangian with respect to generalized velocity.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-physics-lagrangian_mechanicsnlab-physics-lagrangiancambridge-classical-dynamicswp-physics-canonical_momentumThis is an authored directed relation from the source endpoint to the target endpoint.
Lagrangian mechanics formulates dynamics using and stationary action.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-lagrangian_mechanicsnlab-physics-lagrangian_mechanicsnlab-physics-lagrangian