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- W4289253640 abstract "We study a reflectionless PT-symmetric quantum system described by the pair of complexified Scarf II potentials mutually displaced in the half of their pure imaginary period. Analyzing the rich set of intertwining discrete symmetries of the pair, we find an exotic supersymmetric structure based on three matrix differential operators that encode all the properties of the system, including its reflectionless (finite-gap) nature. The structure we revealed particularly sheds new light on the splitting of the discrete states into two families, related to the bound and resonance states in Hermitian Scarf II counterpart systems, on which two different series of irreducible representations of sl(2,C) are realized." @default.
- W4289253640 created "2022-08-01" @default.
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- W4289253640 date "2012-06-01" @default.
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- W4289253640 title "Self-isospectral tri-supersymmetry in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si21.gif display=inline overflow=scroll><mml:mi mathvariant=script>PT</mml:mi></mml:math>-symmetric quantum systems with pure imaginary periodicity" @default.
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- W4289253640 doi "https://doi.org/10.1016/j.aop.2012.03.004" @default.
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