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

Published 17 Jan 2022 in quant-ph | (2201.06536v3)

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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