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math.SP2016
Summation formula inequalities for eigenvalues of the perturbed harmonic oscillator
Pedro Freitas, James B. Kennedy
We derive explicit inequalities for sums of eigenvalues of one-dimensional Schrödinger operators on the whole line. In the case of the perturbed harmonic oscillator, these bounds c…
math.SP2016
Summation formula inequalities for eigenvalues of Schrödinger operators
Pedro Freitas, James B. Kennedy
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…