A generalization of the concept of PT symmetry

dc.creatorZnojil, Miloslav
dc.date2001-06-21
dc.date.accessioned2026-07-07T04:28:31Z
dc.date.available2026-07-07T04:28:31Z
dc.descriptionWe 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.
dc.description15 pages, submitted to J. Phys. A. To be discussed in Kracow, Poland,July 18 - 21, 2001, QTS2 int. conf. (http://qts2.ifj.edu.pl/programm.htm)
dc.identifierhttps://arxiv.org/abs/math-ph/0106021
dc.identifierhttp://arxiv.org/abs/math-ph/0106021
dc.identifierin proceedings:Quantum Theory and Symmetries, ed. E. Kapuscik and A. Horzela, Word Sci., Singapore,2002, pp. 626-631
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56819
dc.subjectMathematical Physics
dc.subjectRings and Algebras
dc.subject47B50; 81R40; 81S99; 15A57; 46C20
dc.titleA generalization of the concept of PT symmetry
dc.typetext

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