Is PT -symmetric quantum theory false as a fundamental theory?

0472846 - ÚJF 2017 RIV CZ eng J - Journal Article
Znojil, Miloslav
Is PT -symmetric quantum theory false as a fundamental theory?
Acta Polytechnica. Roč. 56, č. 3 (2016), s. 254-257. ISSN 1210-2709. E-ISSN 1805-2363
R&D Projects: GA ČR GA16-22945S
Institutional support: RVO:61389005
Keywords : quantum mechanics * PT-symmetric representations of observables * masurement outcomes
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Yi-Chan Lee et al. claim (cf. Phys. Rev. Lett. 112, 130404 (2014)) that the "recent extension of quantum theory to non-Hermitian Hamiltonians" (which is widely known under the nickname of "PT -symmetric quantum theory") is "likely false as a fundamental theory". By their opinion their results “essentially kill any hope of PT -symmetric quantum theory as a fundamental theory of nature”. In our present text we explain that their toy-model-based considerations are misleading and that they do not imply any similar conclusions.
Permanent Link: http://hdl.handle.net/11104/0270067