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This paper presents an underlying analytical relationship between the PT -pseudonorm associated with the PT -symmetric Hamiltonian H = p 2 + V (q) and the Stokes multiplier of the differential equation corresponding to this Hamiltonian. We show that the sign alternation of PT -pseudo-norm, which has been observed as a generic feature of the PT -inner product, is essentially controlled by the derivative of Stokes multiplier with respect to eigenparameter.

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