Advertisement

Local Commutator Estimates

Part of the Theoretical,Mathematical Physics book series (TMP)

Abstract

In this chapter, we will examine a number of theorems about operators H which follow from the Mourre estimate, an estimate which says that a commutator (H, iA) is positive in some sense. The ideas in this chapter can be traced back to Putnam(289), Kato(191) and Lavine(225) for theorems on the absence of singular spectrum, and to Weidmann(367) and Kalf(189) for theorems on absence of positive eigenvalues.

Keywords

Strong Convergence Positive Eigenvalue Point Spectrum Absolute Continuity Uniform Boundedness 
These 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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Personalised recommendations