canonical equation of motion

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• Canonical transformation — In Hamiltonian mechanics, a canonical transformation is a change of canonical coordinates (mathbf{q}, mathbf{p}, t) ightarrow (mathbf{Q}, mathbf{P}, t) that preserves the form of Hamilton s equations, although it might not preserve the… …   Wikipedia

• Hamilton–Jacobi equation — In physics, the Hamilton–Jacobi equation (HJE) is a reformulation of classical mechanics and, thus, equivalent to other formulations such as Newton s laws of motion, Lagrangian mechanics and Hamiltonian mechanics. The Hamilton–Jacobi equation is… …   Wikipedia

• Fokker–Planck equation — [ thumb|A solution to the one dimensional Fokker–Planck equation, with both the drift and the diffusion term. The initial condition is a Dirac delta function in x = 1, and the distribution drifts towards x = 0.] The Fokker–Planck equation… …   Wikipedia

• Tanaka equation — In mathematics, Tanaka s equation is an example of a stochastic differential equation which admits a weak solution but has no strong solution. It is named after the Japanese mathematician Tanaka Hiroshi.Tanaka s equation is the one dimensional… …   Wikipedia

• Vorticity equation — The vorticity equation is an important prognostic equation in the atmospheric sciences. Vorticity is a vector, therefore, there are three components. The equation of vorticity (three components in the canonical form) describes the total… …   Wikipedia

• Integral of motion — In physics, an integral of motion is a term for a conserved quantity that does not change as time evolves, cf. also constant of motion. In the case of classical mechanics, an integral of motion is a function defined on the phase space (a function …   Wikipedia

• Matrix mechanics — Quantum mechanics Uncertainty principle …   Wikipedia

• Dirac bracket — The Dirac bracket is a generalization of the Poisson bracket developed by Paul Dirac to correctly treat systems with second class constraints in Hamiltonian mechanics and canonical quantization. It is an important part of Dirac s development of… …   Wikipedia

• Momentum — This article is about momentum in physics. For other uses, see Momentum (disambiguation). Classical mechanics Newton s Second Law …   Wikipedia

• Schrödinger field — In quantum mechanics and quantum field theory, a Schrödinger field is a quantum field which obeys the Schrödinger equation. While any situation described by a Schrödinger field can also be described by a many body Schrödinger equation for… …   Wikipedia

• Scalar field theory — In theoretical physics, scalar field theory can refer to a classical or quantum theory of scalar fields. A field which is invariant under any Lorentz transformation is called a scalar , in contrast to a vector or tensor field. The quanta of the… …   Wikipedia