Nature of quantum measurement for quantities not represented by Hermitian operators

Dmitri Sokolovski

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


In the case of a simple quantum system, we investigate the possibility of defining meaningful probabilities for a quantity that cannot be represented by a Hermitian operator. We find that the consistent-histories approach, recently applied to the case of quantum traversal time [N. Yamada, Phys. Rev. Lett. 83, 3350 (1999)], does not provide a suitable criterion and we dispute Yamada's claim of finding a simple solution to the tunneling-time problem. Rather, we define the probabilities for certain types of generally nonorthogonal decomposition of the system's quantum state. These relate to the interaction between the system and its environment, can be observed in a generalized von Neumann measurement, and are consistent with a particular class of positive-operator-valued measures.
Original languageEnglish
Pages (from-to)032107
Number of pages1
JournalPhysical Review A
Issue number3
Publication statusPublished - Sept 2002

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics


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