MATH 664 Spectral Theory of one-dimensional periodic Schrödinger and Dirac operators Select Term:
The course is an introduction to Spectral Theory of Differential Operators. The syllabus includes: boundary value problems, Floquet theory, structure of the spectra, spectra localization, asymptotic estimates for the resolvent, asymptotic formulas for the eigenvalues and eigenfunctions, relations between the spectral gaps decay and the potential smoothness, existence of Riesz bases consisting of root functions.
SU Credits : 3
ECTS Credit : 10
Prerequisite : -
Corequisite : -