Spectral Decomposition II

Abstract

AbstractThe 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 SpectrumVector PotentialLandau LevelSpectral DecompositionPoint SpectrumThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.