Space-time behavior of propagators for Schrödinger evolution equations with Stark effect

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Abstract

We give a detailed description of the space-time behavior of the unitary propagator {U(t,s); t, s ε{lunate} R} determined by the Schrödinger evolution equation i∂tu = - 1 2Δu + E · xu + V(t, x)u, t ε{lunate} R, x ε{lunate} Rn, where E is a homogeneous electric field and V is a time-dependent potential.

Original languageEnglish
Pages (from-to)264-292
Number of pages29
JournalJournal of Functional Analysis
Volume97
Issue number2
DOIs
Publication statusPublished - 1991 May 1

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ASJC Scopus subject areas

  • Analysis

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