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Measurement of Quantum Mechanical Operators
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.
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Citations
Cited by
Decoherence, the measurement problem, and interpretations of quantum mechanics
Schlosshauer, M. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.76.1267 · Cited by 1,443
The Statistical Interpretation of Quantum Mechanics
BALLENTINE, L. E. (1970) · Reviews of Modern Physics · doi:10.1103/revmodphys.42.358 · Cited by 1,033
Reference frames, superselection rules, and quantum information
Bartlett, S. D., Rudolph, T., & Spekkens, R. W. (2007) · Reviews of Modern Physics · doi:10.1103/revmodphys.79.555 · Cited by 827
Evolution without evolution: Dynamics described by stationary observables
Page, D. N., & Wootters, W. K. (1983) · Physical Review D · doi:10.1103/physrevd.27.2885 · Cited by 578
Quantum measuring processes of continuous observables
Ozawa, M. (1984) · Journal of Mathematical Physics · doi:10.1063/1.526000 · Cited by 504
Metadata
- Authors
- Araki, H., & Yanase, M. M.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1960-10-15
- Volume
- 120
- Issue
- 2
- Pages
- 622-626
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2018339531
- Cited by
- 353
- References
- 0
- FWCI
- 1.68
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Measurement of Quantum Mechanical Operators. https://app.cochat.ai/papers/10.1103/physrev.120.622
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- Araki, H., & Yanase, M. M. (1960). Measurement of Quantum Mechanical Operators. Physical Review. https://doi.org/10.1103/physrev.120.622
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