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  2. Green's function - Wikipedia

    en.wikipedia.org/wiki/Green's_function

    In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with specified initial conditions or boundary conditions.

  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 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 ...

  5. 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 .

  6. Dirichlet problem - Wikipedia

    en.wikipedia.org/wiki/Dirichlet_problem

    The Green's function to be used in the above integral is one which vanishes on the boundary: (,) = for and . Such a Green's function is usually a sum of the free-field Green's function and a harmonic solution to the differential equation.

  7. Green's theorem - Wikipedia

    en.wikipedia.org/wiki/Green's_theorem

    In vector calculus, Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D (surface in ) bounded by C. It is the two-dimensional special case of Stokes' theorem (surface in R 3 {\displaystyle \mathbb {R} ^{3}} ).

  8. Method of images - Wikipedia

    en.wikipedia.org/wiki/Method_of_images

    This method is a specific application of Green's functions. [citation needed] The method of images works well when the boundary is a flat surface and the distribution has a geometric center. This allows for simple mirror-like reflection of the distribution to satisfy a variety of boundary conditions.

  9. Green measure - Wikipedia

    en.wikipedia.org/wiki/Green_measure

    In mathematics — specifically, in stochastic analysis — the Green measure is a measure associated to an Itō diffusion.There is an associated Green formula representing suitably smooth functions in terms of the Green measure and first exit times of the diffusion.