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:

    “When the red-cheeked, dancing girls, April and May, trip home to the wintry, misanthropic woods; even the barest, ruggedest, most thunder-cloven old oak will at least send forth some few green sprouts, to welcome such glad-hearted visitants.”
    —Herman Melville (1819–1891)

    “To make us feel small in the right way is a function of art; men can only make us feel small in the wrong way.”
    —E.M. (Edward Morgan)