On the Absolutely Continuous Spectrum of Multi-Dimensional Schrödinger Operators with Slowly Decaying Potentials
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We consider a multi-dimensional Schrödinger operator −Δ+V in L2(R d ) and find conditions on the potential V which guarantee that the absolutely continuous spectrum of this operator is essentially supported by the positive real line. We prove some results which go beyond the case L1+L p with p<d.
KeywordsNeural Network Statistical Physic Complex System Nonlinear Dynamics Potential Versus
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