Function spaces associated with Schroedinger operators: the Poeschl-Teller potential

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dc.creatorOlafsson, Gestur
dc.creatorZheng, Shijun
dc.date2005-09-27
dc.date.accessioned2026-07-07T06:19:22Z
dc.date.available2026-07-07T06:19:22Z
dc.descriptionWe address the function space theory associated with the Schroedinger operator H. The discussion is featured with the Poeschl-Teller potential in quantum physics. Using biorthogonal dyadic system, we introduce Besov spaces and Triebel-Lizorkin spaces (including Sobolev spaces) associated with H. We then use interpolation method to identify these spaces with the classical ones for a certain range of p,q> 1. A physical implication is that the corresponding wave function $ψ(t,x)=e^{-i t H }f(x)$ admits appropriate time decay in the Besov space scale.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0509642
dc.identifierhttp://arxiv.org/abs/math/0509642
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95047
dc.subjectAnalysis of PDEs
dc.subjectClassical Analysis and ODEs
dc.subject42B25; 35P25
dc.titleFunction spaces associated with Schroedinger operators: the Poeschl-Teller potential
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