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

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ua nt - p h / 02 06 03 2 v 1 6 J un 2 00 2 PT symmetry breaking and explicit expressions for the pseudo - norm in the Scarf II potential

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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ژورنال

عنوان ژورنال: Physics Letters A

سال: 2002

ISSN: 0375-9601

DOI: 10.1016/s0375-9601(02)00779-x