paper

Summation formula inequalities for eigenvalues of Schrödinger operators

arXiv:1605.01925

Abstract

We derive inequalities for sums of eigenvalues of Schrödinger operators on finite intervals and tori. In the first of these cases, the inequalities converge to the classical trace formulae in the limit as the number of eigenvalues considered approaches infinity.

14 pages; to appear in J. Spectral Theory