Absolutely continuous spectrum of multidimensional Schrodinger operator

Details Absolutely continuous spectrum of multidimensional Schrodinger operator Absolutely continuous spectrum of multidimensional Schrodinger operator

2004-08-26

arxiv.org/abs/math/0408376v1

Mathematics

Analysis of PDEs

Scientific paper

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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