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Spectral Representation

Once the Green's function for a system has been obtained one knows everything about the system, in particular its set of orthonormal basis. An example from linear algebra illustrates the point.

Subsections

Spectral Resolution of the Resolvent of a Matrix
Spectral Resolution of the Green's Function
Green's Function as the Fountainhead of the Eigenvalues and Eigenvectors of a System
- Spectral Representation
- Completeness via Green's function
String with Free Ends: Green's Function, Spectrum, and Completeness

Ulrich Gerlach 2007-04-05