In physics, the Hamilton–Jacobi equation, named after William Rowan Hamilton and Carl Gustav Jacob Jacobi, is an alternative formulation of classical... 44 KB (8,124 words) - 20:29, 13 May 2024 |
The Hamilton-Jacobi-Bellman (HJB) equation is a nonlinear partial differential equation that provides necessary and sufficient conditions for optimality... 14 KB (2,050 words) - 17:50, 26 April 2024 |
general relativity, the Hamilton–Jacobi–Einstein equation (HJEE) or Einstein–Hamilton–Jacobi equation (EHJE) is an equation in the Hamiltonian formulation... 16 KB (1,959 words) - 00:11, 15 June 2023 |
Newton's laws of motion (category Equations of physics) {\displaystyle t} . The Hamiltonian is incorporated into the Hamilton–Jacobi equation, a differential equation for S {\displaystyle S} . Bodies move over time in... 121 KB (15,363 words) - 05:12, 4 April 2024 |
Hamiltonian mechanics (redirect from Hamilton's equation) theory Hamiltonian system Hamilton–Jacobi equation Hamilton–Jacobi–Einstein equation Lagrangian mechanics Maxwell's equations Hamiltonian (quantum mechanics)... 52 KB (9,275 words) - 00:18, 4 March 2024 |
Action (physics) (redirect from Hamilton's Principal Function) classical mechanics. Due to a similarity with the Schrödinger equation, the Hamilton–Jacobi equation provides, arguably, the most direct link with quantum mechanics... 24 KB (3,074 words) - 22:32, 19 April 2024 |
dynamics, differential equations, determinants, and number theory. His name is sometimes given as Karl Gustav Jakob. Jacobi was born of Ashkenazi Jewish... 20 KB (2,048 words) - 06:45, 6 May 2024 |
Four-gradient (section As a component of the SR Hamilton–Jacobi equation in relativistic analytic mechanics) dt)(dx\,dy\,dz)} is the 4D differential volume element The Hamilton–Jacobi equation (HJE) is a formulation of classical mechanics, equivalent to other... 48 KB (8,619 words) - 16:27, 8 May 2024 |
of motion (Newton's law, Euler–Lagrange equation, Hamilton–Jacobi equation, etc.) is the Schrödinger equation in its most general form: i ℏ ∂ Ψ ∂ t =... 55 KB (7,476 words) - 00:15, 29 March 2024 |