Extended States for the Schrodinger Operator with Quasi-Periodic Potential in Dimension Two

Author : Roman Shterenberg,Yulia Karpeshina

Paperback

Published : Thursday 30 May 2019

ISBN : 9781470435431

Price : €83.07

Description

Considers a Schrodinger operator $H=-\Delta +V(\vec x)$ in dimension two with a quasi-periodic potential $V(\vec x)$. The authors 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 following properties.

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