English

Strong radiation condition bounds

Mathematical Physics 2024-08-08 v2 math.MP

Abstract

We construct solutions to the eikonal equation for a class of long-range potentials, derive strong radiation condition bounds for the corresponding Schr\"odinger operator and apply them to construct the generalized Fourier transform, diagonalizing the continuous part the operator.

Cite

@article{arxiv.2205.14049,
  title  = {Strong radiation condition bounds},
  author = {K. Ito and E. Skibsted},
  journal= {arXiv preprint arXiv:2205.14049},
  year   = {2024}
}

Comments

The results are improved and extended in our new preprint arXiv:2408.02979

R2 v1 2026-06-24T11:31:05.548Z