enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Green's function - Wikipedia

    en.wikipedia.org/wiki/Green's_function

    Green's functions are also useful tools in solving wave equations and diffusion equations. In quantum mechanics, Green's function of the Hamiltonian is a key concept with important links to the concept of density of states. The Green's function as used in physics is usually defined with the opposite sign, instead.

  3. Green's function (many-body theory) - Wikipedia

    en.wikipedia.org/wiki/Green's_function_(many-body...

    In many-body theory, the term Green's function (or Green function) is sometimes used interchangeably with correlation function, but refers specifically to correlators of field operators or creation and annihilation operators. The name comes from the Green's functions used to solve inhomogeneous differential equations, to which they are loosely ...

  4. Green's identities - Wikipedia

    en.wikipedia.org/wiki/Green's_identities

    In mathematics, Green's identities are a set of three identities in vector calculus relating the bulk with the boundary of a region on which differential operators act. They are named after the mathematician George Green , who discovered Green's theorem .

  5. Green's function for the three-variable Laplace equation

    en.wikipedia.org/wiki/Green's_function_for_the...

    Green's functions can be expanded in terms of the basis elements (harmonic functions) which are determined using the separable coordinate systems for the linear partial differential equation. There are many expansions in terms of special functions for the Green's function. In the case of a boundary put at infinity with the boundary condition ...

  6. Dirichlet problem - Wikipedia

    en.wikipedia.org/wiki/Dirichlet_problem

    is the derivative of the Green's function along the inward-pointing unit normal vector ^. The integration is performed on the boundary, with measure d s {\displaystyle ds} . The function ν ( s ) {\displaystyle \nu (s)} is given by the unique solution to the Fredholm integral equation of the second kind,

  7. Heat equation - Wikipedia

    en.wikipedia.org/wiki/Heat_equation

    In one variable, the Green's function is a solution of the initial value problem (by Duhamel's principle, equivalent to the definition of Green's function as one with a delta function as solution to the first equation)

  8. Generalized function - Wikipedia

    en.wikipedia.org/wiki/Generalized_function

    In the mathematics of the nineteenth century, aspects of generalized function theory appeared, for example in the definition of the Green's function, in the Laplace transform, and in Riemann's theory of trigonometric series, which were not necessarily the Fourier series of an integrable function.

  9. Influence function - Wikipedia

    en.wikipedia.org/wiki/Influence_function

    In mathematics, influence function is used to mean either: a synonym for a Green's function ; Influence function (statistics) , the effect on an estimator of changing one point of the sample