Pseudo-Hermiticity of Hamiltonians under imaginary shift of the co-ordinate : real spectrum of complex potentials


We propose that the real spectrum and the orthogonality of the states for several known complex potentials of both types, PT -symmetric and nonPT -symmetric can be understood in terms of currently proposed η-pseudoHermiticity (Mostafazadeh, quant-ph/0107001) of a Hamiltonian, provided the Hermitian linear automorphism, η, is introduced as e−θp which affects… (More)


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