1106.1712 (Oleg Safronov)

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