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20092022
most citedEstimates for eigenvalues of the Schrödinger operator with a complex potential

56 citations · 65 across the 6 of their papers we have counts for

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Showing 2011Show all

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math-ph2011★ 2 cited

Absolutely continuous spectrum of a typical Schrödinger operator with a slowly decaying potential

Oleg Safronov

We consider a family of multi-dimensional Schrödinger operators with a real . The potential in our model decays at infinity in a special way, so that it satisfies a…

math.SP2011★ 7 cited

Absolutely continuous spectrum of a one-paramentric family of Schrödinger operators

Oleg Safronov

We consider a family of operators with a slowly decaying and oscillating potential . We prove that the absolutely continuous spectrum of this operator is essentially s…