Department of Mathematics2024-11-0920131364-503X10.1098/rsta.2012.00502-s2.0-84875419280https://hdl.handle.net/20.500.14288/242I extend the formulation of pseudo-Hermitian quantum mechanics to eta(+)-pseudo-Hermitian Hamiltonian operators H with an unbounded metric operator eta(+). In particular, I give the details of the construction of the physical Hilbert space, observables and equivalent Hermitian Hamiltonian for the case that H has a real and discrete spectrum and its eigenvectors belong to the domain of eta(+) and consequently root eta(+).pdfMultidisciplinary sciencesJournal Article1471-2962https://doi.org/10.1098/rsta.2012.0050316226200005N/ANOIR00262