Measurement of Quantum Mechanical Operators

Huzihiro Araki and Mutsuo M. Yanase
Phys. Rev. 120, 622 – Published 15 October 1960
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Abstract

The limitation on the measurement of an operator imposed by the presence of a conservation law is studied. It is shown that an operator which does not commute with a conserved (additive) quantity cannot be measured exactly (in the sense of von Neumann). It is also shown for a simple case that an approximate measurement of such an operator is possible to any desired accuracy.

  • Received 17 May 1960

DOI:https://doi.org/10.1103/PhysRev.120.622

©1960 American Physical Society

Authors & Affiliations

Huzihiro Araki* and Mutsuo M. Yanase

  • Palmer Physical Laboratory, Princeton University, Princeton, New Jersey

  • *Present address: Department of Nuclear Engineering, Kyoto University, Kyoto, Japan.
  • On leave of absence from Sophia University, Tokyo, Japan.

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Issue

Vol. 120, Iss. 2 — October 1960

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