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Dilation-analyticity and decay properties of interactions

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Abstract

LetH=H 0+V be a Schrödinger operator onL 2(ℝn). We show that the more dilation analyticV is, the slower it must decay at infinity.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of California, Los Angeles, California, USA

    D. Babbitt & E. Balslev

Authors
  1. D. Babbitt
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  2. E. Balslev
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Additional information

This Research was partially supported by ⋆ NSF grant no. GP-33696 X and ⋆⋆ NSF grant no. GP-36336.

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Babbitt, D., Balslev, E. Dilation-analyticity and decay properties of interactions. Commun.Math. Phys. 35, 173–179 (1974). https://doi.org/10.1007/BF01646191

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  • DOI: https://doi.org/10.1007/BF01646191

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