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Special Applied Math Seminar
Absence of positive eigenvalues for Schroedinger operators with rough and long range potentials
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In its simplest version our main result states that there are no positive eigenvalues for Schroedinger operators with potentials in $L^{(n+1)/2}$. The proof combines the classical argument for potentials decaying faster than $1/|x|$ and dispersive estimates. As byproduct we obtain similar results for operators with variable coefficients and additional long range potentials. This is joint work with D. Tataru. |