Hamilton's principle
In physics, Hamilton's principle is William Rowan Hamilton's formulation of the principle of stationary action. It states that the dynamics of a physical system are determined by a variational problem for a functional based on a single function, the Lagrangian, which may contain all physical information concerning the system and the forces acting on it. The variational problem is equivalent to and allows for the derivation of the differential equations of motion of the physical system. Although formulated originally for classical mechanics, Hamilton's principle also applies to classical fields such as the electromagnetic and gravitational fields, and plays an important role in quantum mechanics, quantum field theory and criticality theories.
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Action (physics)Analytical Dynamics of Particles and Rigid BodiesAnalytical mechanicsCalculus of variationsCharles W. MisnerComputational anatomyConceptual programs in physicsD'Alembert's principleDarryl HolmDirac equationDiscontinuous deformation analysisEinstein–Cartan theoryEnergy functionalEuler–Lagrange equationFermat's and energy variation principles in field theoryFermat's principleFour-momentumFrame of referenceFree energy principleGauss's law for gravityGauss's principle of least constraintGeodesics in general relativityGeometric mechanicsGlossary of physicsHamilton's PrincipleHamilton principleHamilton–Jacobi equationHendrik LorentzHistory of electromagnetic theoryHistory of mathematical notationHolonomic constraintsIndex of physics articles (H)Jenifer HaselgroveLagrangian mechanicsList of contributors to general relativityList of eponymous lawsList of things named after William Rowan HamiltonMaupertuis's principleMonogenic systemNanomechanics
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Hamilton's principle
In physics, Hamilton's principle is William Rowan Hamilton's formulation of the principle of stationary action. It states that the dynamics of a physical system are determined by a variational problem for a functional based on a single function, the Lagrangian, which may contain all physical information concerning the system and the forces acting on it. The variational problem is equivalent to and allows for the derivation of the differential equations of motion of the physical system. Although formulated originally for classical mechanics, Hamilton's principle also applies to classical fields such as the electromagnetic and gravitational fields, and plays an important role in quantum mechanics, quantum field theory and criticality theories.
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Das Hamiltonsche Prinzip der T ...... leinster Wirkung zurückführen.
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Il principio di Hamilton è un ...... della lagrangiana del sistema.
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In de mechanica, een deelgebie ...... eorie en "kritieke" theorieën.
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In physics, Hamilton's princip ...... eory and criticality theories.
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Η αρχή του Χάμιλτον (Hamilton) ...... σε κλασικά μηχανικά συστήματα.
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При́нцип Га́мільтона — у механ ...... лювань принципу найменшої дії.
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在物理學裏,哈密頓原理(英語:Hamilton's prin ...... 應用於經典場,像電磁場或重力場,甚至可以延伸至量子場論等等。
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Euler–Lagrange equations
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Hamilton's principle
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Das Hamiltonsche Prinzip der T ...... usgeführt – nicht präzise ist.
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Il principio di Hamilton è un ...... della lagrangiana del sistema.
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In de mechanica, een deelgebie ...... eorie en "kritieke" theorieën.
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In physics, Hamilton's princip ...... eory and criticality theories.
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Η αρχή του Χάμιλτον (Hamilton) ...... σε κλασικά μηχανικά συστήματα.
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При́нцип Га́мільтона — у механ ...... вають варіаційними завданнями.
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在物理學裏,哈密頓原理(英語:Hamilton's prin ...... 應用於經典場,像電磁場或重力場,甚至可以延伸至量子場論等等。
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Hamilton's principle
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Hamiltona principo
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Hamiltoniano
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Hamiltonsches Prinzip
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Principe van Hamilton
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Principio variazionale di Hamilton
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Αρχή του Χάμιλτον
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Гамільтонів принцип
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哈密頓原理
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해밀턴의 원리
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