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Hamiltonian function

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  • Hamiltonian function — ▪ physics also called  Hamiltonian,         mathematical definition introduced in 1835 by Sir William Rowan Hamilton (Hamilton, Sir William Rowan) to express the rate of change in time of the condition of a dynamic physical system one regarded as …   Universalium

  • Hamiltonian function — Hamiltono funkcija statusas T sritis fizika atitikmenys: angl. Hamiltonian function vok. Hamiltonsche Funktion, f rus. функция Гамильтона, f pranc. fonction d’Hamilton, f; fonction hamiltonienne, f …   Fizikos terminų žodynas

  • Hamiltonian mechanics — is a re formulation of classical mechanics that was introduced in 1833 by Irish mathematician William Rowan Hamilton. It arose from Lagrangian mechanics, a previous re formulation of classical mechanics introduced by Joseph Louis Lagrange in 1788 …   Wikipedia

  • Hamiltonian fluid mechanics — is the application of Hamiltonian methods to fluid mechanics. This formalism can only apply to nondissipative fluids.Irrotational barotropic flowTake the simple example of a barotropic, inviscid vorticity free fluid.Then, the conjugate fields are …   Wikipedia

  • Hamiltonian vector field — In mathematics and physics, a Hamiltonian vector field on a symplectic manifold is a vector field, defined for any energy function or Hamiltonian. Named after the physicist and mathematician Sir William Rowan Hamilton, a Hamiltonian vector field… …   Wikipedia

  • hamiltonian — I. | ̷ ̷ ̷ ̷|tōnēən, ōnyən adjective Usage: usually capitalized 1. [Alexander Hamilton died 1804 American statesman + English ian] 1. : of or relating to the statesman Hamilton or to his political and social doctrines or program characterized by… …   Useful english dictionary

  • Hamiltonian (quantum mechanics) — In quantum mechanics, the Hamiltonian H is the observable corresponding to the total energy of the system. As with all observables, the spectrum of the Hamiltonian is the set of possible outcomes when one measures the total energy of a system.… …   Wikipedia

  • Hamiltonian (control theory) — The Hamiltonian of optimal control theory was developed by L. S. Pontryagin as part of his minimum principle. It was inspired by, but is distinct from, the Hamiltonian of classical mechanics. Pontryagin proved that a necessary condition for… …   Wikipedia

  • Hamiltonian lattice gauge theory — In physics, Hamiltonian lattice gauge theory is a calculational approach to gauge theory and a special case of lattice gauge theory in which the space is discretized but time is not. The Hamiltonian is then re expressed as a function of degrees… …   Wikipedia

  • Function problem — In computational complexity theory, a function problem is a problem other than a decision problem, that is, a problem requiring a more complex answer than just YES or NO.Notable examples include the travelling salesman problem, which asks for the …   Wikipedia

  • Hamiltonian — noun Etymology: Sir William Hamilton died 1865 Irish mathematician Date: 1926 a function that is used to describe a dynamic system (as the motion of a particle) in terms of components of momentum and coordinates of space and time and that is… …   New Collegiate Dictionary

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