Comment on Complex Extension of Quantum Mechanics

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dc.creatorMostafazadeh, Ali
dc.date2004-07-09
dc.date.accessioned2026-07-07T06:10:13Z
dc.date.available2026-07-07T06:10:13Z
dc.descriptionIn their Erratum [Phys. Rev. Lett. {\bf 92}, 119902 (2004), quant-ph/0208076], written in reaction to [quant-ph/0310164], Bender, Brody and Jones propose a revised definition for a physical observable in PT-symmetric quantum mechanics. We show that although this definition avoids the dynamical inconsistency revealed in quant-ph/0310164, it is still not a physically viable definition. In particular, we point out that a general proof that this definition is consistent with the requirements of the quantum measurement theory is lacking, give such a proof for a class of PT-symmetric systems by establishing the fact that this definition implies that the observables are pseudo-Hermitian operators, and show that for all the cases that this definition is consistent with the requirements of measurement theory it reduces to a special case of a more general definition given in [quant-ph/0310164]. The latter is the unique physically viable definition of observables in PT-symmetric quantum mechanics.
dc.description3 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0407070
dc.identifierhttp://arxiv.org/abs/quant-ph/0407070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92202
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleComment on Complex Extension of Quantum Mechanics
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