Hamilton–Jacobi equation
In mathematics, the Hamilton–Jacobi equation (HJE) is a necessary condition describing extremal geometry in generalizations of problems from the calculus of variations, and is a special case of the Hamilton–Jacobi–Bellman equation. It is named for William Rowan Hamilton and Carl Gustav Jacob Jacobi. In physics, it is a formulation of classical mechanics, equivalent to other formulations such as Newton's laws of motion, Lagrangian mechanics and Hamiltonian mechanics. The Hamilton–Jacobi equation is particularly useful in identifying conserved quantities for mechanical systems, which may be possible even when the mechanical problem itself cannot be solved completely.
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HJEHamilton's Characteristic FunctionHamilton's characteristic functionHamilton's principal functionHamilton's principle functionHamilton-Jacobi EquationHamilton-Jacobi EquationsHamilton-Jacobi equationHamilton-Jacobi equationsHamilton-Jacobi equations of motionHamilton-Jacobi theoryHamilton equationHamilton jacobi equationHamilton–Jacobi equationsHamilton–Jacobi theoryStaeckel conditions
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Hamilton–Jacobi equation
In mathematics, the Hamilton–Jacobi equation (HJE) is a necessary condition describing extremal geometry in generalizations of problems from the calculus of variations, and is a special case of the Hamilton–Jacobi–Bellman equation. It is named for William Rowan Hamilton and Carl Gustav Jacob Jacobi. In physics, it is a formulation of classical mechanics, equivalent to other formulations such as Newton's laws of motion, Lagrangian mechanics and Hamiltonian mechanics. The Hamilton–Jacobi equation is particularly useful in identifying conserved quantities for mechanical systems, which may be possible even when the mechanical problem itself cannot be solved completely.
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Beim Hamilton-Jacobi-Formalism ...... einer passenden Erzeugenden .
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En mécanique hamiltonienne, le ...... on des équations du mouvement.
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In de wiskunde is de vergelijk ...... lledig kunnen worden opgelost.
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In matematica, in particolare ...... toniana del sistema sia nulla.
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In mathematics, the Hamilton–J ...... echanics to quantum mechanics.
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La ecuación de Hamilton-Jacobi ...... e otros enfoques alternativos.
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Na matemática, a equação de Ha ...... ssica com a mecânica quântica.
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Równanie Hamiltona-Jacobiego – ...... Hamiltona i Gustava Jacobiego.
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В физике и математике, уравнен ...... егантно решить задачу Кеплера.
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在物理學裏,哈密頓-雅可比方程 (Hamilton-Jaco ...... 詳細說明。HJE 被認為是從經典力學進入量子力學最近的門階。
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Beim Hamilton-Jacobi-Formalism ...... so dass Eingesetzt in : und .
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En mécanique hamiltonienne, le ...... on des équations du mouvement.
@fr
In de wiskunde is de vergelijk ...... lledig kunnen worden opgelost.
@nl
In matematica, in particolare ...... toniana del sistema sia nulla.
@it
In mathematics, the Hamilton–J ...... f cannot be solved completely.
@en
La ecuación de Hamilton-Jacobi ...... alguna integral de movimiento.
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Na matemática, a equação de Ha ...... on e Carl Gustav Jakob Jacobi.
@pt
Równanie Hamiltona-Jacobiego – ...... Hamiltona i Gustava Jacobiego.
@pl
В физике и математике, уравнен ...... егантно решить задачу Кеплера.
@ru
在物理學裏,哈密頓-雅可比方程 (Hamilton-Jaco ...... 詳細說明。HJE 被認為是從經典力學進入量子力學最近的門階。
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label
Ecuación de Hamilton-Jacobi
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Equação de Hamilton–Jacobi
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Hamilton-Jacobi-Formalismus
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Hamilton-Jacobi-vergelijking
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Hamilton–Jacobi equation
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Równanie Hamiltona-Jacobiego
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Teoria di Hamilton-Jacobi
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Équations de Hamilton-Jacobi
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Уравнение Гамильтона — Якоби
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ハミルトン–ヤコビ方程式
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