PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential
arXiv:quant-ph/0206032 · doi:10.1016/S0375-9601(02)00779-X
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.
16 pages; to appear in Phys. lett. A