This article is cited in 7 papers

Research Papers

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

O. Safronov

The University of North Carolina at Charlotte, Department of Mathematics and Statistics

Abstract: Under certain conditions on the potential $V$, it is shown that the absolutely continuous spectrum of the Schrödinger operator $-\Delta+\alpha V$ is essentially supported on $[0,+\infty)$ for almost every $\alpha\in\mathbb R$.

Keywords: Schrödinger operator, spectral measure, Fourier transform, selfadjoint operator.

Received: 07.06.2011

Language: English

 English version: St. Petersburg Mathematical Journal, 2013, 24:6, 977–989

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