English

On the Mourre estimates for three-body Floquet Hamiltonians

Mathematical Physics 2020-01-08 v1 math.MP

Abstract

In this paper, we consider the Floquet Hamiltonian KK associated with a three-body Schr\"odinger operator with time-periodic pair potentials H(t)H(t). By introducing a conjugate operator AA for KK in the standard Mourre theory, we prove the Mourre estimate for KK.

Keywords

Cite

@article{arxiv.1904.10190,
  title  = {On the Mourre estimates for three-body Floquet Hamiltonians},
  author = {Tadayoshi Adachi},
  journal= {arXiv preprint arXiv:1904.10190},
  year   = {2020}
}