Ergun, Ebru2024-09-292024-09-2920130972-6802https://doi.org/10.1155/2013/716109https://hdl.handle.net/20.500.14619/6365We consider on an appropriate Sobolev space a non-Hermitian Hamiltonian H-alpha,H-beta depending on the two complex parameters alpha and beta and having real spectrum. We derive a closed formula for a family of the metric operators, which render the Hamiltonian H-alpha,H-beta Hermitian. In some particular cases, we calculate the Hermitian counterpart of H-alpha,H-beta.eninfo:eu-repo/semantics/openAccessQuantum-MechanicsArticle10.1155/2013/7161092-s2.0-84884270934N/AWOS:000324203300001Q2