Abstract

We derive certain identities satisfied by the left/right-reflection and transmission amplitudes, and T(k), of general -symmetric scattering potentials. We use these identities to give a general proof of the relations, and , conjectured in Ahmed (2012 J. Phys. A: Math. Theor. 45 032004), and the generalized unitarity relation: , and show that it is a common property of both real and complex -symmetric potentials. The same holds for and .

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