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integrable field

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  • Integrable system — In mathematics and physics, there are various distinct notions that are referred to under the name of integrable systems. In the general theory of differential systems, there is Frobenius integrability, which refers to overdetermined systems. In… …   Wikipedia

  • List of integrable models — This is a list of integrable models as well as classes of integrable models in physics.Integrable models in 1+1 dimensionsIn classical and quantum field theory:*free boson *free fermion *sine Gordon model *Thirring model *sinh Gordon model… …   Wikipedia

  • Toda field theory — In the study of field theory and partial differential equations, a Toda field theory is derived from the following Lagrangian::mathcal{L}=frac{1}{2}left [left({partial phi over partial t},{partial phi over partial t} ight) left({partial phi over… …   Wikipedia

  • Dublin Institute for Advanced Studies — Dublin Institute for Advanced Studies, School of Theoretical Physics The Dublin Institute for Advanced Studies (DIAS) (Irish: Institiúid Ard Léinn Bhaile Átha Cliath) Dublin, Ireland was established in 1940 by the …   Wikipedia

  • Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

  • Quantum group — In mathematics and theoretical physics, quantum groups are certain noncommutative algebras that first appeared in the theory of quantum integrable systems, and which were then formalized by Vladimir Drinfel d and Michio Jimbo. There is no single …   Wikipedia

  • Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

  • List of nonlinear partial differential equations — In mathematics and physics, nonlinear partial differential equations are (as their name suggests) partial differential equations with nonlinear terms. They describe many different physical systems, ranging from gravitation to fluid dynamics, and… …   Wikipedia

  • Frobenius theorem (differential topology) — In mathematics, Frobenius theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system of first order homogeneous linear partial differential equations. In modern geometric terms …   Wikipedia

  • mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

  • Almost complex manifold — In mathematics, an almost complex manifold is a smooth manifold equipped with smooth linear complex structure on each tangent space. The existence of this structure is a necessary, but not sufficient, condition for a manifold to be a complex… …   Wikipedia

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