English

Perturbations of KMS States and Noncommutative Lp-spaces

Mathematical Physics 2019-10-02 v2 math.MP Quantum Physics

Abstract

We extend the theory of perturbations of KMS states to a class of unbounded perturbations using noncommutative LpL_p-spaces. We also prove certain stability of the domain of the Modular Operator associated with a ||.||p-continuous state. This allows us to define an analytic multiple-time KMS condition and to obtain its analyticity together with some bounds to its norm.

Keywords

Cite

@article{arxiv.1811.04514,
  title  = {Perturbations of KMS States and Noncommutative Lp-spaces},
  author = {Ricardo Correa da Silva},
  journal= {arXiv preprint arXiv:1811.04514},
  year   = {2019}
}