Abstract

AbstractA new strategy of the use of 𝒫𝒯 symmetry in quantum theory is proposed. The essence of the innovation lies in the replacement of the usual parity‐like choice of 𝒫 by its non‐involutory and positive‐definite alternative 𝒫(positive) ≠ I. The resulting modified concept of 𝒫(positive)𝒯‐symmetry remains phenomenologically appealing as well as technically useful. This is demonstrated and illustrated via an N‐site quantum lattice model which is exactly solvable in terms of Legendre polynomials.

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