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Comment on "Comment on 'Supersymmetry, PT-symmetry and spectral bifurcation'"

arXiv

Authors: Kumar Abhinav, Prasanta K. Panigrahi

Year

2010

Paper ID

10926

Status

Preprint

Abstract Read

~2 min

Abstract Words

117

Citations

N/A

Abstract

In "Comment on Supersymmetry, PT-symmetry and spectral bifurcation" \cite{BQ1}, Bagchi and Quesne correctly show the presence of a class of states for the complex Scarf-II potential in the unbroken PT-symmetry regime, which were absent in \cite{AP}. However, in the spontaneously broken PT-symmetry case, their argument is incorrect since it fails to implement the condition for the potential to be PT-symmetric: C^PT[2(A-B)+α]=0. It needs to be emphasized that in the models considered in \cite{AP}, PT is spontaneously broken, implying that the potential is PT- symmetric, whereas the ground state is not. Furthermore, our supersymmetry (SUSY)-based 'spectral bifurcation' holds independent of the sl(2) symmetry consideration for a large class of PT-symmetric potentials.

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In "Comment on Supersymmetry, PT-symmetry and spectral bifurcation" citeBQ1, Bagchi and Quesne correctly show the presence of a class of states for the complex Scarf-II...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.1909 [2] arXiv https://arxiv.org/abs/1010.1909 [3] Publisher https://arxiv.org/abs/1010.1909

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