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Absolutely continuous spectrum of multidimensional Schrodinger operator

S. A. Denisov
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Abstract

We prove that 3-dimensional Schrodinger operator with slowly decaying potential has an absolutely continuous spectrum that fills the positive half-line. The asymptotics of Green's function is obtained as well.

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S. A. Denisov. 2004-08-26. Absolutely continuous spectrum of multidimensional Schrodinger operator. https://arxiv.org/abs/math/0408376

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