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PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential

G. Levai·F. Cannata·A. Ventura
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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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G. Levai, F. Cannata, A. Ventura. 2002-06-06. PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential. https://doi.org/10.1016/s0375-9601(02)00779-x

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