Infinite series of time-dependent Dyson maps

@article{Fring2021InfiniteSO,
  title={Infinite series of time-dependent Dyson maps},
  author={Andreas Fring and Rebecca Tenney},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2021},
  volume={54}
}
  • A. Fring, Rebecca Tenney
  • Published 15 August 2021
  • Mathematics, Physics
  • Journal of Physics A: Mathematical and Theoretical
We propose and explore a scheme that leads to an infinite series of time-dependent Dyson maps which associate different Hermitian Hamiltonians to a uniquely specified time-dependent non-Hermitian Hamiltonian. We identify the underlying symmetries responsible for this feature respected by various Lewis–Riesenfeld invariants. The latter are used to facilitate the explicit construction of the Dyson maps and metric operators. As a concrete example for which the scheme is worked out in detail we… 
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