Hamilton-Jacobi theory


Also found in: Acronyms.

Hamilton-Jacobi theory

[′ham·əl·tən jə′kō·bē ‚thē·ə·rē]
(mathematics)
The study of the solutions of the Hamilton-Jacobi equation and the information they provide concerning solutions of the related systems of ordinary differential equations.
(mechanics)
A theory that provides a means for discussing the motion of a dynamic system in terms of a single partial differential equation of the first order, the Hamilton-Jacobi equation.
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