English

Asymptotic completeness for short-range N-body systems revisited

Spectral Theory 2024-11-01 v1 Mathematical Physics math.MP

Abstract

We review Yafaev's approach to asymptotic completeness for systems of particles mutually interacting with short-range potentials. The theory is based on computation of commutators with time-independent (mostly bounded) observables yielding a sufficient supply of Kato smoothness bounds.

Keywords

Cite

@article{arxiv.2410.24078,
  title  = {Asymptotic completeness for short-range N-body systems revisited},
  author = {Erik Skibsted},
  journal= {arXiv preprint arXiv:2410.24078},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2306.07080