 97509 Helffer B., Mohamed A.
 Asymptotic of the Density of States for the Schr\"odinger Operator
with Periodic Electric Potential
(131K, LATEX)
Sep 18, 97

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We analyze in this article the spectral properties
of the Schr\"odinger operator
with periodic potential
on L^2(\rz^n). It is proven that the integrated density of states
N(\mu) has an asymptotic expansion of the form
N(\mu) =a_n \mu^{n/2}+a_{n2} \mu^{\frac{n2}{2}}+O(\mu^{(n3+\epsilon)/2}),
for all \epsilon >0.
This gives also a proof of the BetheSommerfeld conjecture for n<5.
 Files:
97509.tex