English

Gibbs states defined by biorthogonal sequences

Mathematical Physics 2016-10-12 v1 math.MP Quantum Physics

Abstract

Motivated by the growing interest on PT-quantum mechanics, in this paper we discuss some facts on generalized Gibbs states and on their related KMS-like conditions. To achieve this, we first consider some useful connections between similar (Hamiltonian) operators and we propose some extended version of the Heisenberg algebraic dynamics, deducing some of their properties, useful for our purposes.

Keywords

Cite

@article{arxiv.1609.00660,
  title  = {Gibbs states defined by biorthogonal sequences},
  author = {Fabio Bagarello and Camillo Trapani and Salvatore Triolo},
  journal= {arXiv preprint arXiv:1609.00660},
  year   = {2016}
}

Comments

In press in Journal of Physics A

R2 v1 2026-06-22T15:38:49.362Z