Non-Hermitian PT -symmetric and Hermitian Hamiltonians’ correspondence: Isospectrality and mass signature arXiv:0806.2982v2 [quant-ph] 8 Oct 2008 Omar Mustafa 1 and S.Habib Mazharimousavi 2 Department of Physics, Eastern Mediterranean University, G Magusa, North Cyprus, Mersin 10,Turkey $^{1}$E-mail: omar.mustafa@emu.edu.tr $^{2}$E-mail: habib.mazhari@emu.edu.tr December 25, 2018 Abstract A transformation of the form x $^{→ ±}$iy ∈ i R ; x, y ∈ R , or an equiv- alent similarity transformation with a metric operator η are shown to map non-Hermitian PT -symmetric Hamiltonians into Hermitian partner Hamiltonians in Hilbert space. Isospectrality and mass signature are also discussed. PACS codes: 03.65.Ge, 03.65.Ca Keywords: non-Hermitian PT -symmetric Hamiltonians, Hermitian partner Hamiltonians, isospectrality, mass signature. 1