97-653 Abderemane MOHAMED
Asymptotic of the density of states for Schrodinger operator with periodic electro-magnetic potential (83K, LATeX 2e) Dec 30, 97
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. For the Schr\"odinger operator in $L^2({\bf R}^n),\ n>1,$ with $C^{\infty }$ periodic electro-magnetic potential, we give an asymptotic formula of the integrate density of states of the form $$N(\mu )=a_n\mu ^{n/2}+ {\bf O}(\mu ^{(n-2+\epsilon )/2}),\ \ \forall \ \epsilon >0.$$ When $n=2,$ this estimate enables us to prove the finiteness of gaps in the spectrum.

Files: 97-653.tex