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

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

2002-06-06

arxiv.org/abs/quant-ph/0206032v1

Phys. Lett. A 300 (2002) 271.

Physics

Quantum Physics

16 pages; to appear in Phys. lett. A

Scientific paper

10.1016/S0375-9601(02)00779-X

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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