Adiabatic time-dependent metrics in PT-symmetric quantum theories

Details Adiabatic time-dependent metrics in PT-symmetric quantum theories Adiabatic time-dependent metrics in PT-symmetric quantum theories

2009-02-03

arxiv.org/abs/0902.0474v1

Physics

Quantum Physics

7 pages, 1 figure

Scientific paper

We introduce an approach to scattering problems in theories with non-Hermitian Hamiltonian, usually known as PT-symmetric quantum theories, by means of the adiabatic switching of the interaction. The modifications of usual methods needed to employ time-dependent metrics are described. We argue that an analogue of the adiabatic theorem hold for time dependent metrics and that its validity forms a necessary condition for consistency of the procedure.

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