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I. Green's Theorem and Green's Functions in Electrostatics II. Hermitian
Operators and Green's Functions III. Examples of Green's Functions IV.
Conversion from Differential to Integral Equation V. Green's Functions in the
Complex Plane VI.
j dx' G(x. x')fix') (24) w here GU. x ) = 2, , _ , (25) Equation (24) is of the standard
form in Eq. (I) with the Green's function given by Eq. (25). The equation satisfied
by the Green's function IS (// - E) Gix, x') = -2 <M*> **(*') = -fi(x - .«') (26) where Eq.
is a differential operator and the right- hand side depends on y(x) and may even
be a nonlinear function of y(x). If y(x) satisfies linear homogeneous boundary
conditions and if one can find a Green's function of -C that satisfies these
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