Extended states for the Schrödinger operator with quasi-periodic potential in dimension two / Yulia Karpeshina, Roman Shterenberg.

The authors consider a Schrödinger operator H=-\Delta +V(\vec x) in dimension two with a quasi-periodic potential V(\vec x). They prove that the absolutely continuous spectrum of H contains a semiaxis and there is a family of generalized eigenfunctions at every point of this semiaxis with the follow...

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Bibliographic Details

Online Access:	Full Text (via ProQuest)
Main Authors:	Karpeshina, Yulia E., 1956- (Author), Shterenberg, Roman (Roman G.) (Author)
Format:	eBook
Language:	English
Published:	Providence, RI : American Mathematical Society, 2019.
Series:	Memoirs of the American Mathematical Society ; no. 1239.
Subjects:	Schrödinger equation.