Zero width resonance (spectral singularity) in a complex PT-symmetric potential
Abstract
We show that the complex PT-Symmetric potential, V(x)=-V1 sech2x + iV2 sechx ~ x, , entails a single zero-width resonance (spectral singularity) when V1+|V2|=4n2+4n+3 4(n=1,2,3.., |V2|>|V1|+ sgn(V1) 4) and the positive resonant energy is given as E*=1 4[|V2|-(1/4+V1)].
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