A generalization of the concept of PT symmetry

Details A generalization of the concept of PT symmetry A generalization of the concept of PT symmetry

2001-06-21

arxiv.org/abs/math-ph/0106021v1

in proceedings:Quantum Theory and Symmetries, ed. E. Kapuscik and A. Horzela, Word Sci., Singapore,2002, pp. 626-631

Physics

Mathematical Physics

15 pages, submitted to J. Phys. A. To be discussed in Kracow, Poland,July 18 - 21, 2001, QTS2 int. conf. (http://qts2.ifj.ed

Scientific paper

We show that the PT symmetric Hamiltonians (and their generalizations defined in the text) may be all assigned the projected (so called Feshbach or effective) nonlinear Hamiltonians which are "locally" Hermitian. This implies that many (if not all) of the bound-state energies may be real in a broad domain of Hermiticity-violating interactions. A complexification of a Winternitz's super-integrable example in two dimensions is conjectured as an illustration.

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