D'Alembert Operator - Green's Function

Green's Function

The Green's function for the d'Alembertian is defined by the equation

where is the Dirac delta function and and are two points in Minkowski space.

A special solution is given by the retarded Green's function which corresponds to signal propagation only forward in time

where is the Heaviside step function.

Read more about this topic:  D'Alembert Operator

Famous quotes containing the words green and/or function:

    Love to chawnk green apples an’ go swimmin’ in the
    lake.—
    Hate to take the castor-ile they give for belly-ache!
    ‘Most all the time, the whole year round, there ain’t no flies on
    me,
    But jest ‘fore Christmas I’m as good as I kin be!
    Eugene Field (1850–1895)

    The function of comedy is to dispel ... unconsciousness by turning the searchlight of the keenest moral and intellectual analysis right on to it.
    George Bernard Shaw (1856–1950)