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Spectral theory for one-body Stark operators

Mathematical Physics 2019-05-13 v1 math.MP

Abstract

We investigate spectral theory for a large class of one-body Stark Hamiltonians using a commutator technique. Our results include Rellich's theorem, the limiting absorption principle, radiation condition bounds and Sommerfeld's uniqueness theorem, all stated and proved in the framework of Besov spaces.

Cite

@article{arxiv.1905.03982,
  title  = {Spectral theory for one-body Stark operators},
  author = {T. Adachi and K. Itakura and K. Ito and E. Skibsted},
  journal= {arXiv preprint arXiv:1905.03982},
  year   = {2019}
}
R2 v1 2026-06-23T09:02:30.479Z