Discrete Green's Function
The Green's function of the discrete Schrödinger operator is given in the resolvent formalism by
where is understood to be the Kronecker delta function on the graph: ; that is, it equals 1 if v=w and 0 otherwise.
For fixed and a complex number, the Green's function considered to be a function of v is the unique solution to
Read more about this topic: Discrete Laplace Operator
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