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Journal of Spectral Theory

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Volume 6, Issue 3, 2016, pp. 483–503
DOI: 10.4171/JST/130

Published online: 2016-09-15

Summation formula inequalities for eigenvalues of Schrödinger operators

Pedro Freitas[1] and James B. Kennedy[2]

(1) Universidade de Lisboa, Portugal
(2) Universität Ulm, Germany

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.

Keywords: Eigenvalues, Trace formulae

Freitas Pedro, Kennedy James: Summation formula inequalities for eigenvalues of Schrödinger operators. J. Spectr. Theory 6 (2016), 483-503. doi: 10.4171/JST/130

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