Hamilton-Jacobi equation

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Hamilton-Jacobi equation [′ham·əl·tən jə′kō·bē i‚kwā·zhən]

(mathematics)

A particular partial differential equation useful in studying certain systems of ordinary equations arising in the calculus of variations, dynamics, and optics:H(q₁, …,q_n, ∂φ/∂q₁, …, ∂φ/∂q_n,t) + ∂φ/∂t= 0, whereq₁, …,q_nare generalized coordinates,tis the time coordinate,His the Hamiltonian function, and φ is a function that generates a transformation by means of which the generalized coordinates and momenta may be expressed in terms of new generalized coordinates and momenta which are constants of motion.

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No references found			These articles, which are written with research chemists in mind, discuss such trends as new tools for treating intermolecular interactions, calculating quantum dot structures and using the Hamilton-Jacobi Equation in relativistic quantum chemistry. Quantum chemistry research trends by SciTech Book News Subjects featured include kinetic formulations of nonlinear PDEs, constrained Hamilton-Jacobi equations, nonlinear Schrodinger equations, quasiminimal sets for Hausdorff measures, Schrodinger flows into Kahler manifolds, and parabolic obstacle problems with applications to finance. Recent developments in nonlinear partial differential equations; ... by SciTech Book News Other topics include homogenization of stochastic Hamilton-Jacobi equations, general relative entropy in a nonlinear McKendrick model, pointwise Fourier inversion in analysis and geometry, and a class of one-dimensional Markov processes with continuous paths. Stochastic analysis and partial differential equations; emphasis year ... by SciTech Book News			Hamilton, Alexander Hamilton, Alice Hamilton, Andrew Hamilton, Andrew Jackson Hamilton, Anthony Hamilton, Charles Hamilton, Edith Hamilton, Emma, Lady Hamilton, George Heard Hamilton, James Douglas, 4th duke of Hamilton, James Hamilton, 3d marquess and 1st duke of Hamilton, James, 1st earl of Arran Hamilton, James, 2d earl of Arran Hamilton, James, 3d earl of Arran Hamilton, John Hamilton, 1st marquess of Hamilton, Lee Herbert Hamilton, Mount Hamilton, Patrick Hamilton, Sir Ian Standish Monteith Hamilton, Sir William Hamilton, Sir William Rowan Hamilton, William Hamilton, William Hamilton, 2d duke of Hamilton, William Rowan Hamilton-Cayley theorem Hamilton-Jacobi equation Hamilton-Jacobi theory Hamiltonian circuit Hamiltonian cycle Hamiltonian function Hamiltonian graph Hamiltonian Operator Hamiltonian path Hamiltonian problem Hamiltonian tour Hamina Hamites Hamitic languages Hamito-Semitic Languages Hamlet Hamlin Beach State Park Hamlin County Hamlin, Hannibal Hamlin, Talbot Hamlin, Talbot Faulkner Hamlisch, Marvin Hamm Hamm tip Hamm, Mia Hammadah al-Hamra, al- hammam			Hamilton, James, 3d earl of Arran Hamilton, John Hamilton, 1st marquess of Hamilton, Lady Emma Hamilton, Lady Emma Hamilton, Lady Emma Hamilton, Lee Herbert Hamilton, Mount Hamilton, New Zealand - Hamilton Hamilton, Ohio Hamilton, Ontario, Canada - Hamilton Civic Airport Hamilton, Patrick Hamilton, Sir Charles Hamilton, Sir Charles Hamilton, Sir Charles Hamilton, Sir Ian Standish Monteith Hamilton, Sir William Hamilton, Sir William Rowan Hamilton, Sir William Rowan Hamilton, Sir William Rowan Hamilton, William Hamilton, William Hamilton, 2d duke of Hamilton, William Peter Hamilton, William Rowan Hamilton, William Rowan Hamilton-Cayley theorem Hamilton-Clermont Cooperative Association Hamilton-connected graph Hamilton-Fairfield Symphony Orchestra Hamilton-Halton Construction Association Hamilton-Halton Home Builders' Association Hamilton-Jacobi equation Hamilton-Jacobi Theory Hamilton-Jacobi Theory Hamilton-Jacobi-Bellman Hamilton-Jacobi-Bellman-Isaacs Hamilton-Jacobi-Isaacs Hamilton-Thorn Motility Analyzer Hamilton-Wenham Public Library Hamilton-Wenham Regional High School Hamilton-Wenham Regional School District Hamilton-Wentworth Air Quality Initiative Hamilton-Wentworth Elementary Teachers' Local Hamiltonian Hamiltonian Hamiltonian Hamiltonian Hamiltonian (disambiguation) Hamiltonian (quantum mechanics) Hamiltonian Boundary Value Method Hamiltonian circuit Hamiltonian cycle Hamiltonian Function Hamiltonian graph HAmiltonian GuIding centre System Hamiltonian mechanics Hamiltonian numbers Hamiltonian numbers Hamiltonian Operator Hamiltonian path Hamiltonian problem

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