Consistency of PT-symmetric quantum mechanics
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Publication:2994690
DOI10.1088/1751-8113/49/10/10LT03zbMATH Open1342.81214arXiv1508.02190OpenAlexW1895364685WikidataQ62272425 ScholiaQ62272425MaRDI QIDQ2994690
Author name not available (Why is that?)
Publication date: 3 August 2016
Published in: (Search for Journal in Brave)
Abstract: In recent reports, suggestions have been put forward to the effect that parity and time-reversal (PT) symmetry in quantum mechanics is incompatible with causality. It is shown here, in contrast, that PT-symmetric quantum mechanics is fully consistent with standard quantum mechanics. This follows from the surprising fact that the much-discussed metric operator on Hilbert space is not physically observable. In particular, for closed quantum systems in finite dimensions there is no statistical test that one can perform on the outcomes of measurements to determine whether the Hamiltonian is Hermitian in the conventional sense, or PT-symmetric---the two theories are indistinguishable. Nontrivial physical effects arising as a consequence of PT symmetry are expected to be observed, nevertheless, for open quantum systems with balanced gain and loss.
Full work available at URL: https://arxiv.org/abs/1508.02190
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