Dispersion for Schrödinger Operators with One-gap Periodic Potentials on R1
Kaihua Cai
Abstract
We prove t- 14-decay for the solutions of the 1-dim Schrodinger equation with a one-gap periodic potential as t +∞ . Generically, one has t- 13-decay and this decay is optimal. Our approach is to analyze the stationary phase in the Schrödinger evolution as an integral operator.
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