Abstract

We provide time-evolution operators, gauge transformations and a perturbative treatment for non-Hermitian Hamiltonian systems, which are explicitly time dependent. We determine various new equivalence pairs for Hermitian and non-Hermitian Hamiltonians, which are therefore pseudo-Hermitian and in addition in some cases also invariant under PT-symmetry. In particular, for the harmonic oscillator perturbed by a cubic non-Hermitian term, we evaluate explicitly various transition amplitudes, for the situation when these systems are exposed to a monochromatic linearly polarized electric field.

Publication Type:	Article
Publisher Keywords:	SYMMETRIC QUANTUM-MECHANICS, PSEUDO-HERMITICITY, PT-SYMMETRY, FIELD-THEORIES, REAL SPECTRA, STABILIZATION, OPERATOR, IONIZATION, EQUATIONS, SOLITONS
Subjects:	Q Science > QC Physics
Departments:	School of Science & Technology > Mathematics

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