title: Pseudo-Hermitian quantum mechanics with unbounded metric operators.
abstract: I extend the formulation of pseudo-Hermitian quantum mechanics to η(+)-pseudo-Hermitian Hamiltonian operators H with an unbounded metric operator η(+). 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 η(+) and consequently √η(+).
authors.affiliation: Department of Mathematics, Koç University, 34450 Sariyer, Istanbul, Turkey. amostafazadeh@ku.edu.tr
authors.forename: Ali
authors.initials: A
authors.lastname: Mostafazadeh