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Open Quantum Systems Decoherence Quantum Simulation

Real discrete spectrum in the complex non-PT-symmetric Scarf II potential

arXiv

Authors: Zafar Ahmed, Joseph Amal Nathan

Year

2014

Paper ID

46482

Status

Preprint

Abstract Read

~2 min

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Abstract

Hitherto, it is well known that complex PT-symmetric Scarf II has real discrete spectrum in the parametric domain of unbroken PT-symmetry. We reveal new interesting complex, non-PT-symmetric parametric domains of this versatile potential, V(x), where the spectrum is again discrete and real. Showing that the Hamiltonian, p²/2m+V(x), in the new cases is pseudo-Hermitian could be challenging, if possible.

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Hitherto, it is well known that complex PT-symmetric Scarf II has real discrete spectrum in the parametric domain of unbroken PT-symmetry.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1411.3231 [2] arXiv https://arxiv.org/abs/1411.3231 [3] Publisher https://arxiv.org/abs/1411.3231

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