Monday, October 22, 2012

1106.1712 (Oleg Safronov)

Absolutely continuous spectrum of a one-paramentric family of
Schrödinger operators

Oleg Safronov
We consider a family of operators $-\Delta+ t V$ with a slowly decaying and oscillating potential $V$. We prove that the absolutely continuous spectrum of this operator is essentially supported by $[0,\infty)$ for almost every $t$.
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