Abstract
During recent developments in quantum theory it has been clarified that observable quantities (such as energy and position) may be represented by operators (with real spectra) that are manifestly non-Hermitian in a preselected friendly Hilbert space . The consistency of these models is known to require an upgrade of the inner product, i.e., mathematically speaking, a transition to another, standard, Hilbert space. We prove that whenever we are given more than one candidate for an observable (i.e., say, two operators and ) in advance, such an upgrade need not exist in general.
- Received 31 October 2016
- Revised 29 March 2017
DOI:https://doi.org/10.1103/PhysRevA.95.042122
©2017 American Physical Society
Physics Subject Headings (PhySH)
Interdisciplinary Physics