English

On quantum complex flows

Analysis of PDEs 2022-07-22 v1

Abstract

We study the propagation of quantum T{\"o}plitz observables through quantized complex linear canonical transformation of one degree of freedom systems. We associate to such a propagated observable a non local "T{\"o}plitz'' expression involving off diagonal terms. We study the link of this constrauction with the usual Weyl symbolic paradigm.

Keywords

Cite

@article{arxiv.2207.10326,
  title  = {On quantum complex flows},
  author = {Thierry Paul},
  journal= {arXiv preprint arXiv:2207.10326},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2206.14603

R2 v1 2026-06-25T01:06:23.948Z