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Lagrangian
(redirected from Lagrangians)

   Also found in: Dictionary/thesaurus, Wikipedia 0.01 sec.
Lagrangian [lə′grän·jē·ən]
(mechanics)
The difference between the kinetic energy and the potential energy of a system of particles, expressed as a function of generalized coordinates and velocities from which Lagrange's equations can be derived. Also known as kinetic potential; Lagrange function.
For a dynamical system of fields, a function which plays the same role as the Lagrangian of a system of particles; its integral over a time interval is a maximum or a minimum with respect to infinitesimal variations of the fields, provided the initial and final fields are held fixed.


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