Non-unitary transformation approach to $\mathcal{PT}$ dynamics
Quantum Physics
2023-01-06 v3
Abstract
We show that several Hamiltonians that are symmetric may be taken to Hermitian Hamiltonians via a non-unitary transformation and vice versa. We also show that for some specific Hamiltonians such non-unitary transformations may be associated, via a fractional-Wick rotation, to complex time.
Cite
@article{arxiv.2201.06536,
title = {Non-unitary transformation approach to $\mathcal{PT}$ dynamics},
author = {Braulio M. Villegas-Martínez and Francisco Soto-Eguibar and Sergio A. Hojman and Felipe A. Asenjo and Héctor M. Moya-Cessa},
journal= {arXiv preprint arXiv:2201.06536},
year = {2023}
}