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Non-Hermitian Hamiltonians with real eigenvalues coupled to electric fields: from the time-independent to the time dependent quantum mechanical formulation
Carla Figueira de Morisson Faria, Andreas Fring
We provide a reviewlike introduction into the quantum mechanical formalism related to non-Hermitian Hamiltonian systems with real eigenvalues. Starting with the time-independent fr…
Isospectral Hamiltonians from Moyal products
Carla Figueira de Morisson Faria, Andreas Fring
Recently Scholtz and Geyer proposed a very efficient method to compute metric operators for non-Hermitian Hamiltonians from Moyal products. We develop these ideas further and sugge…
Time evolution of non-Hermitian Hamiltonian systems
Carla Figueira de Morisson Faria, Andreas Fring
We provide time-evolution operators, gauge transformations and a perturbative treatment for non-Hermitian Hamiltonian systems, which are explicitly time-dependent. We determine var…