PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential
classification
🪐 quant-ph
keywords
pseudo-normexpressionspotentialscarfsymmetryanalysedarbitraryaspects
read the original abstract
Closed expressions are derived for the pseudo-norm, norm and orthogonality relations for arbitrary bound states of the PT symmetric and the Hermitian Scarf II potential for the first time. The pseudo-norm is found to have indefinite sign in general. Some aspects of the spontaneous breakdown of PT symmetry are analysed.
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