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math-ph2014
Extended States for the Schrödinger Operator with Quasi-periodic Potential in Dimension Two
Yulia Karpeshina, Roman Shterenberg
We consider a Schrödinger operator in dimension two with a quasi-periodic potential . We prove that the absolutely continuous spectrum of contains a…
math-ph2014★ 8 cited
Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrodinger operators
Leonid Parnovski, Roman Shterenberg
We prove the complete asymptotic expansion of the spectral function (the integral kernel of the spectral projection) of a Schrodinger operator acting in when the pot…