The integrated density of states for random Schrödinger operators

The integrated density of states for random Schrödinger operators (2007)

by Werner Kirsch , Werner Kirsch , Bernd Metzger , Bernd Metzger

Venue:	in “Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday
Citations:	18 - 1 self

Datum	Value	Source
TITLE	The Integrated Density of States for Random Schrödinger Operators	SVM HeaderParse 0.2
AUTHOR NAME	Werner Kirsch	SVM HeaderParse 0.2
AUTHOR AFFIL	1	SVM HeaderParse 0.2
AUTHOR NAME	Bernd Metzger	SVM HeaderParse 0.2
AUTHOR AFFIL	1	SVM HeaderParse 0.2
AUTHOR NAME	Werner Kirsch	SVM HeaderParse 0.2
AUTHOR AFFIL	Contents	SVM HeaderParse 0.2
AUTHOR NAME	Bernd Metzger	SVM HeaderParse 0.2
AUTHOR AFFIL	Contents	SVM HeaderParse 0.2
ABSTRACT	Abstract. We survey some aspects of the theory of the integrated density of states (IDS) of random Schrödinger operators. The first part motivates the problem and introduces the relevant models as well as quantities of interest. The proof of the existence of this interesting quantity, the IDS, is discussed in the second section. One central topic of this survey is the asymptotic behavior of the integrated density of states at the boundary of the spectrum. In particular, we are interested in Lifshitz tails and the occurrence of a classical and a quantum regime. In the last section we discuss regularity properties of the IDS. Our emphasis is on the discussion of fundamental problems and central ideas to handle them. Finally, we discuss further developments and problems of current	SVM HeaderParse 0.2
CITATIONS	157 found	ParsCit 1.0