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Real discrete spectrum of complex PT-sym...
Ahmed, Zafar...

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Real discrete spectrum of complex PT-symmetric scattering potentials by Ahmed, Zafar ( Author )
Lemonjar Open Access
N.A
21-10-2015
We investigate the parametric evolution of the real discrete spectrum of several complex PT symmetric scattering potentials of the type V(x)=−V1Fe(x)+iV2Fo(x),V1>0,Fe(x)>0 by varying V2 slowly. Here e,o stand for even and odd parity and Fe,o(±∞)=0. Unlike the case of Scarf II potential, we find a general absence of the recently explored accidental (real to real) crossings of eigenvalues in these scattering potentials. On the other hand, we find a general presence of coalescing of real pairs of eigenvalues to the complex conjugate pairs at a finite number of exceptional points. We attribute such coalescings of eigenvalues to the presence of a finite barrier (on the either side of x=0 ) which has been linked to a recent study of stokes phenomenon in the complex PT-symmetric potentials.
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English
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MYR 0.00
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https://arxiv.org/abs/1510.06226
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