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Abstract: We introduce an approach to scattering problems in theories withnon-Hermitian Hamiltonian, usually known as PT-symmetric quantum theories, bymeans of the adiabatic switching of the interaction. The modifications of usualmethods needed to employ time-dependent metrics are described. We argue that ananalogue of the adiabatic theorem hold for time dependent metrics and that itsvalidity forms a necessary condition for consistency of the procedure.



Author: Hynek Bíla

Source: https://arxiv.org/







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