## Absolutely continuous spectrum of a one-paramentric family of Schrödinger operators    [PDF]

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 $t$.
View original: http://arxiv.org/abs/1106.1712