 2244 Oleg Safronov
 The rate of accumulation of negative eigenvalues to zero and the absolutely continuous spectrum
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Aug 18, 22

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Abstract. For a bounded realvalued function $V$ on ${\Bbb R}^d$, we consider two Schr\"odinger operators $H_+=\Delta+V$ and $H_=\DeltaV$.
We prove that if the negative spectra $H_+$ and $H_$ are discrete and the negative eigenvalues of $H_+$ and $H_$ tend to zero
sufficiently fast, then
the absolutely continuous spectra cover the positive halfline $[0,\infty)$.
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