Research Papers

Absolutely continuous spectrum of a typical Schrödinger operator with an operator-valued potential

A. Laptev^ab, O. Safronov<sup>c

a</sup> Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2AZ, UK
^b Sirius Mathematics Center, Sirius University of Science and Technology, 1 Olympic Ave, 354340, Sochi, Russia
^c The University of North Carolina at Charlotte, Department of Mathematics and Statistics

Abstract: The content of the paper is reflected by its title.

Keywords: absolutely continuous spectrum, slowly decaying potentials, Schrödinger operators.

Received: 22.07.2021

Language: English

 English version: St. Petersburg Mathematical Journal, 2024, 35:1, 171–183