Dispersion for Schrödinger Operators with One-gap Periodic Potentials on R^1

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dc.creatorCai, Kaihua
dc.date2004-10-31
dc.date.accessioned2026-07-07T04:31:35Z
dc.date.available2026-07-07T04:31:35Z
dc.descriptionWe prove $t^{- \frac 14}-$decay for the solutions of the 1-dim Schrodinger equation with a one-gap periodic potential as $t \to +\infty $. Generically, one has $t^{- \frac 13}$-decay and this decay is optimal. Our approach is to analyze the stationary phase in the Schrödinger evolution as an integral operator.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0411002
dc.identifierhttp://arxiv.org/abs/math-ph/0411002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57866
dc.subjectMathematical Physics
dc.subject35J10
dc.titleDispersion for Schrödinger Operators with One-gap Periodic Potentials on R^1
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