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Decay theory of unstable quantum systems
Open accessAbstract
The present review article is aimed at a clear formulation of the basic problematics of the decay and at a description of the various recent attempts to solve this delicate problem, illustrating both their successes and limitations. The organisation of the article is as follows. After a short summary of the classical description of the decay, a detailed study of the quantum non-decay probability is given. Then the peculiar dynamical situation leading to the formation of an unstable system is identified and the formal and physical aspects of the process are discussed. A detailed analysis is then made of the preparation procedure of an unstable system which is shown to amount to a localisation of the decay fragments within a distance of the order of the range of the forces acting between them. After this the discussion of the general properties of the non-decay probability at all times is completed.
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“Most of the previous results in this field [1, 2, 3] trace back to the time-energy uncertainty relation in the form derived by Mandelstam and Tamm [4]: in this way, the various lifetimes are bounded by the energy spread ∆ E of the system.”
From Quantum limits to dynamical evolution (2003) · cites this paper as [4]
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Metadata
- Authors
- Fonda, L., Ghirardi, G. C., & Rimini, A.
- Affiliations
- University of Trieste (IT)
- Venue
- Reports on Progress in Physics
- Publisher
- IOP Publishing
- Published
- 1978-04-01
- Volume
- 41
- Issue
- 4
- Pages
- 587-631
- ISSN
- 0034-4885 (ISSN-L)
- 1361-6633
- OpenAlex
- W1973778620
- Cited by
- 627
- References
- 53
- Citations by year
- 2026: 13 · 2025: 12 · 2024: 15 · 2023: 11 · 2022: 13 · 2021: 15 · 2020: 54 · 2019: 19 · 2018: 24 · 2017: 18 · 2016: 19 · 2015: 19 · 2014: 19 · 2013: 19 · 2012: 16
- FWCI
- 6.61
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Reports on Progress in Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Nuclear physics research studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Keywords
- quantum decay, unstable quantum systems
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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