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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 fi rst of these cases, the inequalities converge to the classical trace formulae in the limit as the number of eigenvalues considered approaches in finity.
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