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

By: Yulia Karpeshina (Author) , Roman Shterenberg (Author)

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Ksh 19,150.00

Format: Paperback or Softback

ISBN-13: 9781470435431

Publisher: American Mathematical Society

Publication Date: May 30th, 2019

Category: Differential calculus & equations

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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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