Zur Quantenmechanik einfacher Bewegungstypen
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Kennard proved rigorously the simplest quantitative formulation of the uncertainty relation in 1927 within the wave function description of quantum systems.
“Later in the same year, one of its quantitative formulations (actually, the simplest possible one) was proven rigorously in the frameworks of the wave function description of quantum systems by Kennard [2].”
From Uncertainty relations: a small zoo of remarkable inequalities discovered since 1927 (2025) · cites this paper as [2]
For arbitrary pure states, the Kennard inequality holds.
“For arbitrary pure states, the inequality”
From Uncertainty relations: a small zoo of remarkable inequalities discovered since 1927 (2025) · cites this paper as [2]
Cited by
Sorted by citations
Uncertainty relation revisited from quantum estimation theory
Watanabe, Y., Sagawa, T., & Ueda, M. (2011) · Physical Review A · doi:10.1103/physreva.84.042121 · Cited by 86 · see citing works
The standard deviation is not an adequate measure of quantum uncertainty
Hilgevoord, J. (2002) · American Journal of Physics · doi:10.1119/1.1503380 · Cited by 42 · see citing works
Uncertainty relations: a small zoo of remarkable inequalities discovered since 1927
Dodonov, V. V. (2025) · Revista Brasileira de Ensino de Física · doi:10.1590/1806-9126-rbef-2025-0252 · Cited by 1 · see citing works
- Authors
- Kennard, E. H.
- Corresponding author
- Kennard, E. H.
- Venue
- Zeitschrift f�r Physik
- Published
- 1927-04
- Volume
- 44
- Issue
- 4-5
- Pages
- 326-352
- ISSN
- 1434-6001 (ISSN-L)
- 1434-601X
- OpenAlex
- W2012016549
- Cited by
- 1,087
- References
- 0
- Citations by year
- 2026: 41 · 2025: 45 · 2024: 53 · 2023: 81 · 2022: 52 · 2021: 80 · 2020: 66 · 2019: 76 · 2018: 63 · 2017: 60 · 2016: 86 · 2015: 42 · 2014: 46 · 2013: 36 · 2012: 31
- FWCI
- 7.11
- Type
- journal article
- Language
- de
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- The European Physical Journal A (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Keywords
- quantum harmonic oscillator, uncertainty principle, canonical conjugate variables
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