On the Localizability of Quantum Mechanical Systems
Abstract
From the very beginning of quantum mechanics, the notion of the position of a particle has been much discussed. In the nonrelativistic case, the proof of the equivalence of matrix and wave mechanics, the discovery of the uncertainty relations, and the development of the statistical interpretation of the theory led to an understanding which, within the inevitable limitations of the nonrelativistic theory, may be regarded as completely satisfactory.
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The photon and other massless particles cannot be spatially localized.
“It is known that the photon and other massless particles cannot be spatially localized [15,16,56,57].”
From <i>Zitterbewegung</i> of massless particles (2022) · cites this paper as [16]
Cites
Quantenelektrodynamik im Konfigurationsraum
Landau, L., & Peierls, R. (1930) · Zeitschrift f�r Physik · doi:10.1007/bf01339793 · Cited by 150 · see citing works
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(1996) · Progress in Optics · doi:10.1016/s0079-6638(08)70316-0 · Cited by 240 · see citing works
Estimation of shift parameters of a quantum state
Holevo, A. S. (1978) · Reports on Mathematical Physics · doi:10.1016/0034-4877(78)90065-4 · Cited by 71 · see citing works
Photon position operator with commuting components
Hawton, M. (1999) · Physical Review A · doi:10.1103/physreva.59.954 · Cited by 63 · see citing works
A Relativistic Schrödinger-like Equation for a Photon and Its Second Quantization
Kobe, D. H. (1999) · Foundations of Physics · doi:10.1023/a:1018855630724 · Cited by 42 · see citing works
Photon wave function and<i>Zitterbewegung</i>
Wang, Z.-Y., Xiong, C.-D., & Qiu, Q. (2009) · Physical Review A · doi:10.1103/physreva.80.032118 · Cited by 14 · see citing works
<i>Zitterbewegung</i> of massless particles
Silenko, A. J. (2022) · Physical Review A · doi:10.1103/physreva.105.062211 · Cited by 11 · see citing works
“It is well-known that the photon and other massless particles cannot be spatially localized [11, 12, 34–36].”
Background
- Authors
- Wightman, A. S.
- Affiliations
- Princeton University (US)
- Corresponding author
- Wightman, A. S.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1962-10-01
- Volume
- 34
- Issue
- 4
- Pages
- 845-872
- ISSN
- 0034-6861 (ISSN-L)
- OpenAlex
- W2034065943
- Cited by
- 417
- References
- 1
- Citations by year
- 2026: 8 · 2025: 9 · 2024: 9 · 2023: 11 · 2022: 9 · 2021: 8 · 2020: 14 · 2019: 5 · 2018: 11 · 2017: 5 · 2016: 9 · 2015: 6 · 2014: 7 · 2013: 6 · 2012: 11
- FWCI
- 2.28
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Reviews of Modern Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
- Keywords
- localizability, quantum mechanics, matrix mechanics, wave mechanics, uncertainty relations, statistical interpretation
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