Lagrangian functional

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• Lagrangian mechanics — is a re formulation of classical mechanics that combines conservation of momentum with conservation of energy. It was introduced by Italian mathematician Lagrange in 1788. In Lagrangian mechanics, the trajectory of a system of particles is… …   Wikipedia

• Lagrangian — This article is about Lagrange mechanics. For other uses, see Lagrangian (disambiguation). The Lagrangian, L, of a dynamical system is a function that summarizes the dynamics of the system. It is named after Joseph Louis Lagrange. The concept of… …   Wikipedia

• Lagrangian (disambiguation) — The term Lagrangian refers to any of several mathematical concepts developed by Joseph Louis Lagrange:* In physics, the Lagrangian is a function that characterizes the dynamics of a system. * In optimization theory, the Lagrangian is used to… …   Wikipedia

• Functional derivative — In mathematics and theoretical physics, the functional derivative is a generalization of the directional derivative. The difference is that the latter differentiates in the direction of a vector, while the former differentiates in the direction… …   Wikipedia

• Functional (mathematics) — In mathematics, a functional is traditionally a map from a vector space to the field underlying the vector space, which is usually the real numbers. In other words, it is a function that takes a vector as its argument or input and returns a… …   Wikipedia

• Functional — Generally, functional refers to something able to fulfill its purpose or function.*Functional form and functionalism (architecture) apply to architectural design. *Functional (mathematics) is a term applied to certain scalar valued functions in… …   Wikipedia

• Inverse problem for Lagrangian mechanics — In mathematics, the inverse problem for Lagrangian mechanics is the problem of determining whether a given system of ordinary differential equations can arise as the Euler–Lagrange equations for some Lagrangian function. There has been a great… …   Wikipedia

• Density functional theory — Electronic structure methods Tight binding Nearly free electron model Hartree–Fock method Modern valence bond Generalized valence bond Møller–Plesset perturbation theory …   Wikipedia

• Nonlocal Lagrangian — In field theory, a nonlocal Lagrangian is a Lagrangian, a type of functional which contains terms which are nonlocal in the fields i.e. which are not polynomials or functions of the fields or their derivatives evaluated at a single point in the… …   Wikipedia

• BRST quantization — In theoretical physics, BRST quantization (where the BRST refers to Becchi, Rouet, Stora and Tyutin) is a relatively rigorous mathematical approach to quantizing a field theory with a gauge symmetry. Quantization rules in earlier QFT frameworks… …   Wikipedia

• Action (physics) — In physics, the action is a particular quantity in a physical system that can be used to describe its operation. Action is an alternative to differential equations. The action is not necessarily the same for different types of systems.The action… …   Wikipedia