Spectral Decomposition II
The prominent spectral decomposition of a self-adjoint operator into a point part, an absolutely continuous part, and a singular continuous part is discussed in detail. Some basic criteria are presented. At the end of the chapter, the Weyl-von Neumann and wonderland theorems are proved. Dynamical consequences of this spectral decomposition are described in Chapter 13.
KeywordsContinuous Spectrum Vector Potential Landau Level Spectral Decomposition Point Spectrum
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