
The local Green’s function is used in many physical problems. In this paper, the properties of the local Green’s function are studied, and it is proved that the N×N local Green’s function can represent the results of the full N1×N1 Green’s function, where N is small (or at least finite) and N1 is large (or infinite). The accuracy of cutting the general Green’s function into the local Green’s function is also discussed.
chain matrix, Miscellaneous applications of functional analysis, Statistical mechanics of solids, local Green's function, infinite matrix, projection operator, tridiagonal matrix, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
chain matrix, Miscellaneous applications of functional analysis, Statistical mechanics of solids, local Green's function, infinite matrix, projection operator, tridiagonal matrix, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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