Time evolution of non-Hermitian Hamiltonian systems Export

@misc{citeulike:586444, 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.}, archivePrefix = {arXiv}, author = {Carla and Fring, Andreas}, citeulike-article-id = {586444}, citeulike-linkout-0 = {http://arxiv.org/abs/quant-ph/0604014}, citeulike-linkout-1 = {http://arxiv.org/pdf/quant-ph/0604014}, day = {12}, eprint = {quant-ph/0604014}, keywords = {non-hermitian\_hamiltonians, quantum\_physics}, month = {Apr}, posted-at = {2008-02-23 10:17:01}, priority = {3}, title = {Time evolution of non-Hermitian Hamiltonian systems}, url = {http://arxiv.org/abs/quant-ph/0604014}, year = {2006} }

TY - ELEC ID - citeulike:586444 L3 - citeulike-article-id:586444 N2 - 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. TI - Time evolution of non-Hermitian Hamiltonian systems KW - non-hermitian_hamiltonians KW - quantum_physics AU - Carla AU - Fring, Andreas PY - 2006/Apr/12/ UR - http://arxiv.org/abs/quant-ph/0604014 ER -