Answer to Fock Concerning the Time Energy Indeterminacy Relation
Abstract
An answer is given to a recent criticizm by Fock, concerning our paper "Time in the Quantum Theory and the Uncertainty Relation for Time and Energy." It is proved that Fock's criticizm is wrong, and that our previous conclusion that energy can be measured in an arbitrarily short period of time is valid.
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The correct interpretation of the time-energy Heisenberg uncertainty principle is that a quantum state with spread in energy ΔE takes time at least Δt = π hbar/2ΔE to evolve to an orthogonal state.
“In particular, the correct interpretation of the time-energy Heisenberg uncertainty principle ∆ E ∆ t ≥ ¯ h is not that it takes time ∆ t to measure energy to an accuracy ∆ E (a fallacy that was put to rest by Aharonov and Bohm 23 -24 ) but rather that that a quantum state with spread in energy ∆ E takes time at least ∆ t = π ¯ h/ 2∆ E to evolve to an orthogonal (and hence distinguishable) state 2”
From Ultimate physical limits to computation (2000) · cites this paper as [24]
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References 1 · Cited by 48
- Authors
- Aharonov, Y., & Bohm, D.
- Affiliations
- Yeshiva University (US)
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1964-06-22
- Volume
- 134
- Issue
- 6B
- Pages
- B1417-B1418
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2007697666
- Cited by
- 48
- References
- 1
- Citations by year
- 2025: 1 · 2024: 2 · 2019: 1 · 2013: 1
- FWCI
- 1.03
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
- Keywords
- time-energy uncertainty relation, time in quantum theory, energy measurement
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