Non-Hermitian Hamiltonians of Lie algebraic type

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dc.creatorAssis, Paulo E. G.
dc.creatorFring, Andreas
dc.date2008-04-29
dc.date2008-10-20
dc.date.accessioned2026-07-07T10:19:36Z
dc.date.available2026-07-07T10:19:36Z
dc.descriptionWe analyse a class of non-Hermitian Hamiltonians, which can be expressed bilinearly in terms of generators of a sl(2,R)-Lie algebra or their isomorphic su(1,1)-counterparts. The Hamlitonians are prototypes for solvable models of Lie algebraic type. Demanding a real spectrum and the existence of a well defined metric, we systematically investigate the constraints these requirements impose on the coupling constants of the model and the parameters in the metric operator. We compute isospectral Hermitian counterparts for some of the original non-Hermitian Hamiltonian. Alternatively we employ a generalized Bogoliubov transformation, which allows to compute explicitly real energy eigenvalue spectra for these type of Hamiltonians, together with their eigenstates. We compare the two approaches.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0804.4677
dc.identifierhttp://arxiv.org/abs/0804.4677
dc.identifierJ. Phys. A: Math. Theor. 42 (2009) 015203
dc.identifierdoi:10.1088/1751-8113/42/1/015203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174572
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleNon-Hermitian Hamiltonians of Lie algebraic type
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