Logarithmic Quantum Dynamical Bounds for Arithmetically Defined Ergodic Schrödinger Operators with Smooth Potentials

Svetlana Jitomirskaya () and Matthew Powell ()
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Svetlana Jitomirskaya: University of California, Department of Mathematics
Matthew Powell: University of California, Department of Mathematics

A chapter in Analysis at Large, 2022, pp 173-201 from Springer

Abstract: Abstract We present a method for obtaining power-logarithmic bounds on the growth of the moments of the position operator for one-dimensional ergodic Schrödinger operators. We use Bourgain’s semialgebraic method to obtain such bounds for operators with multifrequency shift or skew-shift underlying dynamics with arithmetic conditions on the parameters.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-05331-3_8

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DOI: 10.1007/978-3-031-05331-3_8

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