Essential spectrum of Operators of Quantum Mechanics and Limit Operators

Mon, 26/05/2014 - 14:00
Speaker: 
Seminar: 
Abstract: 

The talk is devoted to applications of the limit operators to the study of
essential spectra and exponential decay of eigenfunctions of the discrete
spectra for Schr\"{o}dinger and Dirac operators for wide classes of
potentials. Outline of the talk:

1) Fredholm property and location of the essential spectrum of systems of
partial differential operators with variable bounded coefficients;

2) Exponential estimates of solutions of systems of partial differential
operators with variable bounded coefficients;

3) Location of the essential spectrum of Schr\"{o}dinger and Dirac operators
and exponential estimates of eigenfunctions of the discrete spectrum.