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A Critique of PT-Symmetric Quantum Mechanics

Ali Mostafazadeh
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Abstract

We study the physical content of the PT-symmetric complex extension of quantum mechanics as proposed in Bender et al, Phys. Rev. Lett. 80, 5243 (1998) and 89, 270401 (2002), and show that as a fundamental probabilistic physical theory it is neither an alternative to nor an extension of ordinary quantum mechanics. We demonstrate that the definition of a physical observable given in the above papers is inconsistent with the dynamical aspect of the theory and offer a consistent notion of an observable.

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Ali Mostafazadeh. 2003-10-28. A Critique of PT-Symmetric Quantum Mechanics. https://arxiv.org/abs/quant-ph/0310164

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