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arXiv · 2201.06536

Non-unitary transformation approach to $\mathcal{PT}$ dynamics

Braulio M. Villegas-Martínez·Francisco Soto-Eguibar·Sergio A. Hojman·Felipe A. Asenjo·Héctor M. Moya-Cessa
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Abstract

We show that several Hamiltonians that are $\mathcal{PT}$ 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.

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Braulio M. Villegas-Martínez, Francisco Soto-Eguibar, Sergio A. Hojman, Felipe A. Asenjo, Héctor M. Moya-Cessa. 2022-01-17. Non-unitary transformation approach to $\mathcal{PT}$ dynamics. https://arxiv.org/abs/2201.06536

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