# Non-Hermitian PT -symmetric and Hermitian Hamiltonians’ correspondence: Isospectrality and mass signature 

Department of Physics, Eastern Mediterranean University, 

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. 

Keywords: non-Hermitian PT -symmetric Hamiltonians, Hermitian partner Hamiltonians, isospectrality, mass signature. 

Omar Mustafa 1 and S.Habib Mazharimousavi 2 

G Magusa, North Cyprus, Mersin 10,Turkey 

$^{1}$E-mail: omar.mustafa@emu.edu.tr 

$^{2}$E-mail: habib.mazhari@emu.edu.tr 

PACS codes: 03.65.Ge, 03.65.Ca 

December 25, 2018 

## Abstract 

