Bulletin of the London Mathematical Society



Notes and Papers

ON THE HIGH-ENERGY ASYMPTOTICS OF THE INTEGRATED DENSITY OF STATES


E. KOROTYAEV a1 and A. PUSHNITSKI a2
a1 Institut für Mathematik, Humboldt-Universität zu Berlin, Rudower Chaussee 25, 12489 Berlin, Germany ek@mathematik.hu-berlin.de
a2 Department of Mathematical Sciences, Loughborough University, Loughborough, LE11 3TU a.b.pushnitski@lboro.ac.uk

Abstract

Assuming that the integrated density of states of a Schrödinger operator admits a high-energy asymptotic expansion, the authors give explicit formulae for the coefficients of this expansion in terms of the heat invariants.

(Received November 25 2002)
(Revised February 12 2003)

Maths Classification

35J10; 47F05; 35P20.