A family of complex potentials with real spectrum

We consider a two-parameter non-Hermitian quantum mechanical Hamiltonian op erator that is invariant under the combined effects of parity and time reve rsal transformations. Numerical investigation shows that for some values of the potential parameters the Hamiltonian operator supports real eigenvalue s and localized eigenfunctions. In contrast with other parity times time re versal symmetric models which require special integration paths in the comp lex plane, our model is integrable along a line parallel to the real axis.