A unitarity bound on the evolution of nonstationary states
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A lower bound on the orthogonalization time, based on the energy spread ΔE, was found by Mandelstam and Tamm.
“A lower bound on the orthogonalization time, based on the energy spread ∆ E , was found by Mandelstam and Tamm.”
From Fundamental Limit on the Rate of Quantum Dynamics: The Unified Bound Is Tight (2009) · cites this paper as [2]
The bounds coincide, and can be exactly attained by certain initial states if ΔE = E.
“The bounds coincide, and can be exactly attained by certain initial states if ∆ E = E .”
From Fundamental Limit on the Rate of Quantum Dynamics: The Unified Bound Is Tight (2009) · cites this paper as [2]
Fleming's lower bound on the passage time is πħ divided by twice the energy dispersion ΔH.
“from which we obtain Fleming's bound”
From Elementary derivation for passage times (2003) · cites this paper as [9]
The above expression generalizes in a unified manner previous results derived in Refs. [7-22].
“The above expression generalizes in an unified manner previous results derived in Refs. [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22].”
From Energy–time uncertainty relation for driven quantum systems (2013) · cites this paper as [12]
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Self-citation
- Authors
- Fleming, G. N.
- Affiliations
- Pennsylvania State University (US)
- Corresponding author
- Fleming, G. N.
- Venue
- Il Nuovo Cimento A
- Published
- 1973-07
- Volume
- 16
- Issue
- 2
- Pages
- 232-240
- ISSN
- 0369-3546 (ISSN-L)
- 1826-9869
- OpenAlex
- W1628969462
- Cited by
- 218
- References
- 4
- Citations by year
- 2026: 3 · 2025: 6 · 2024: 5 · 2023: 10 · 2022: 12 · 2021: 18 · 2020: 14 · 2019: 9 · 2018: 7 · 2017: 15 · 2016: 16 · 2015: 15 · 2014: 9 · 2013: 12 · 2012: 3
- FWCI
- 0.31
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fields (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
- Keywords
- unitary limit, nonstationary states, state integrity, quantum state evolution, rigorous bounds
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