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arXiv 2005-11-02 0 views

Wave propagation through sparse potential barriers

Denisov, Sergey A.

Original · EN

We prove that 3-dimensional Schrodinger operator with slowly decaying sparse potential has an a.c. spectrum that fills positive half-line. A new kind of WKB asymptotics for Green's function is found. The absense of positive eigenvalues is established as well.

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