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
نویسنده
چکیده
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.
منابع مشابه
ua nt - p h / 03 02 14 1 v 1 1 9 Fe b 20 03 C , PT , CPT invariance of pseudo - Hermitian Hamiltonians Zafar
We propose construction of a unique and definite metric (η +), time-reversal operator (T) and an inner product such that the pseudo-Hermitian matrix Hamiltonians are C, PT, CPT invariant and PT(CPT)-norm is indefinite (definite). Here, P and C denote the generalized symmetries : parity and charge-conjugation respectively. The limitations of the other current approaches have been brought out.
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