Absolutely Continuous Spectrum of One-dimensional Schrr Odinger Operators and Jacobi Matrices with Slowly Decreasing Potentials
نویسنده
چکیده
We prove that for any one-dimensional Schrr odinger operator with potential V (x) satisfying decay condition jV (x)j C x ?3=4? ; the absolutely continuous spectrum lls the whole positive semi-axis. The description of the set in R + on which the singular part of the spectral measure might be supported is also given. Analogous results hold for Jacobi matrices.
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تاریخ انتشار 1996