Absolutely continuous spectrum of a~one-parameter family of Schr\"odinger operators

O. Safronov

Algebra i analiz, Tome 24 (2012) no. 6, pp. 178-195.

Résumé

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 $\alpha\in\mathbb R$.

Détail

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

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