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Remarks on invariant subspaces andL p-solutions of the Schrödinger evolution equation

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Abstract

LetU(t,s) be the propagator associated to HamiltonianH(t)=−Δ+E(t)·x+V(x,t). We present some results on the invariance property and strong continuity forU(t,s) in certain weighted Sobolev spaces. The results can be used to prove the existence ofL p solutions for the Schrödinger evolution equation.

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Authors and Affiliations

  1. Department of Mathematics, National Tsing Hua University, 30043, Hsinchu, Taiwar, Republic of China

    Min-Jei Huang

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  1. Min-Jei Huang
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Communicated by J. A. Goldstein

The author wishes to thank the referee for valuable comments.

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Huang, MJ. Remarks on invariant subspaces andL p-solutions of the Schrödinger evolution equation. Semigroup Forum 53, 82–88 (1996). https://doi.org/10.1007/BF02574123

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  • DOI: https://doi.org/10.1007/BF02574123

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