We propose that the real spectrum and the orthogonality of the states for s
everal known complex potentials of both types, PT-symmetric and non-PT-symm
etric, can be understood in terms of currently proposed eta -pseudo-Hermiti
city (A. Mostafazadeh, math-ph/0107001) of a Hamiltonian, provided the Herm
itian linear automorphism, eta, is introduced as e(-thetap) which affects a
n imaginary shaft of the coordinate: e-(thetap)xe(thetap) = x + i theta. (C
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