The DOI matches its Crossref record; 19 of the 20 references it cites were found in a registry or an index.
Consistent histories and the interpretation of quantum mechanics
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“The CH formalism contains the Born rule as a special case and hence fulfils Assumption (Q). Since it also satisfies (S), it follows from Theorem 1 that it violates (C).”
From Quantum theory cannot consistently describe the use of itself (2018) · cites this paper as [33]
Citations
Cites
An introduction to probability theory and its applications
(1958) · Journal of the Franklin Institute · doi:10.1016/0016-0032(58)90688-4 · Cited by 29,621
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
Einstein, A., Podolsky, B., & Rosen, N. (1935) · Physical Review · doi:10.1103/physrev.47.777 · Cited by 16,654
An Introduction to Probability Theory and Its Applications.
Bharucha-Reid, A. T., & Feller, W. (1967) · American Mathematical Monthly · doi:10.2307/2314609 · Cited by 6,365
Mathematical Foundations of Quantum Mechanics
von Neumann, J. (2018) · Princeton University Press eBooks · doi:10.1515/9781400889921 · Cited by 5,072
"Relative State" Formulation of Quantum Mechanics
Everett, H. (1957) · Reviews of Modern Physics · doi:10.1103/revmodphys.29.454 · Cited by 3,379
Mathematical foundations of quantum mechanics
Offenbacher, E. L. (1955) · Journal of the Franklin Institute · doi:10.1016/0016-0032(55)90752-3 · Cited by 3,129
Schiff, L. I. (1949) · Cited by 3,018
Quantum Mechanics (Non-Relativistic Theory)
Elton, L. (1958) · Physics Bulletin · doi:10.1088/0031-9112/9/10/007 · Cited by 2,334
The philosophy of quantum mechanics
Jammer, M. (1974) · Cited by 1,495
Schiff, L. I., & Gardner, J. H. (1973) · American Journal of Physics · doi:10.1119/1.1987309 · Cited by 1,454
Flagged first, then by citations
1 of the 20 references couldn’t be matched to a known paper.
Cited by
Sorted by citations
Items 601–700 of 1,000
Waegell, M. (2017) · Quantum Studies Mathematics and Foundations · doi:10.1007/s40509-017-0108-z · Cited by 6
Normalization corrections to perturbation theory based on a matrix method
Villegas-Martínez, B. M., Moya-Cessa, H. M., & Soto, F. (2017) · Journal of Modern Optics · doi:10.1080/09500340.2017.1417508 · Cited by 6
Elements of qualitative cognition: An information topology perspective
Baudot, P. (2019) · Physics of Life Reviews · doi:10.1016/j.plrev.2019.10.003 · Cited by 5
Spontaneous Localization and Superconductivity
Rimini, A. (1995) · NATO ASI series. Series B : Physics · doi:10.1007/978-1-4615-1975-1_19 · Cited by 6
Lloyd, S., & Dreyer, O. (2015) · Quantum Information Processing · doi:10.1007/s11128-015-1178-7 · Cited by 7
Quantum histories and measurements
Sokolovski, D., & Liu, Y. (2001) · Physics Letters A · doi:10.1016/s0375-9601(01)00104-9 · Cited by 6
A simple necessary decoherence condition for a set of histories
Scherer, A., Soklakov, A. N., & Schack, R. (2004) · Physics Letters A · doi:10.1016/j.physleta.2004.04.050 · Cited by 6
Commuting position and momentum operators, exact decoherence, and emergent classicality
Halliwell, J. J. (2005) · Physical Review A · doi:10.1103/physreva.72.042109 · Cited by 6
Towards the consistent histories approach to quantum mechanics
Sarkardei, M. R. (2004) · Canadian Journal of Physics · doi:10.1139/p03-122 · Cited by 6
A categorical framework for quantum theory
Thomas Filk, A., & von Müller, A. (2010) · Annalen der Physik · doi:10.1002/andp.201000064 · Cited by 6
Decoherence in continuous measurements: From models to phenomenology
Mensky, M. B. (1997) · Foundations of Physics · doi:10.1007/bf02551442 · Cited by 6
Wave-function collapse and objective randomness
Giovannetti, V., Paolo Grigolini, A., Tesi, G., & Vitali, D. (1996) · Physics Letters A · doi:10.1016/s0375-9601(96)00763-3 · Cited by 5
A note on Schmidt states and consistency
Kent, A. (1994) · Physics Letters A · doi:10.1016/0375-9601(94)91091-x · Cited by 6
Baudot, P., Tapia, M., & Goaillard, J. (2018) · Preprints.org · doi:10.20944/preprints201804.0157.v1 · Cited by 6
A Topos Formulation of Consistent HistoriesPreprint
Flori, C. (2008) · arXiv (Cornell University) · doi:10.48550/arxiv.0812.1290 · Cited by 6
Resource theory of Kirkwood-Dirac imaginarity
Fan, Y., Guo, Z., Liu, Y., & Cao, H. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad5fcc · Cited by 5
Suppression of quantum-mechanical reflection by environmental decoherence
Bedingham, D., & Halliwell, J. J. (2013) · Physical Review A · doi:10.1103/physreva.88.022128 · Cited by 5
Epistemic restrictions in Hilbert space quantum mechanics
Griffiths, R. B. (2013) · Physical Review A · doi:10.1103/physreva.88.042122 · Cited by 4
Self-citationProbing quantum chaos with the entropy of decoherent histories
Polyakov, E., & Arefyeva, N. (2024) · Physical Review A · doi:10.1103/physreva.109.062204 · Cited by 5
Fundamental physical theories: mathematical structures grounded on a primitive ontology
Allori, V. (2007) · doi:10.7282/t3pk0gkk · Cited by 5
Stochastic gravity: beyond semiclassical gravity
Verdaguer, E. (2007) · Journal of Physics Conference Series · doi:10.1088/1742-6596/66/1/012006 · Cited by 7
Classical limit of the quantum Zeno effect by environmental decoherence
Bedingham, D., & Halliwell, J. J. (2014) · Physical Review A · doi:10.1103/physreva.89.042116 · Cited by 5
A review of the decoherent histories approach to the arrival time problem in quantum theory
Yearsley, J. M. (2011) · Journal of Physics Conference Series · doi:10.1088/1742-6596/306/1/012056 · Cited by 8
Spacetime Average Density (SAD) cosmological measures
Page, D. N. (2014) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2014/11/038 · Cited by 6
On the End of a Quantum Mechanical Romance
Mulhauser, G. R. (1995) · Cited by 5
On the Inherent Incompleteness of Scientific Theories
Mathen, J. (2011) · Activitas Nervosa Superior · doi:10.1007/bf03379933 · Cited by 5
Objectivity in Quantum Measurement
Li, S.-W., Cai, C. Y., Liu, X. F., & Sun, C. P. (2018) · Foundations of Physics · doi:10.1007/s10701-018-0169-9 · Cited by 5
A Bi-directional Big Bang/Crunch Universe within a Two-State-Vector Quantum Mechanics?
Bopp, F. (2018) · Foundations of Physics · doi:10.1007/s10701-018-0230-8 · Cited by 5
Neo-Aristotelian Perspectives on Contemporary Science
Gould, P. M., & Evangelical Philosophical Society (2019) · Philosophia Christi · doi:10.5840/pc201921120 · Cited by 5
Forgione, M. (2020) · Foundations of Physics · doi:10.1007/s10701-020-00351-7 · Cited by 5
Quantum Zeno Effect in the Decoherent Histories
Wallden, P. (2007) · Edinburgh Research Explorer (University of Edinburgh) · Cited by 5
Spacetime Superoscillations and the Relativistic Quantum Potential
Bloch, Y. (2023) · Foundations of Physics · doi:10.1007/s10701-023-00680-3 · Cited by 5
Towards space from Hilbert space: finding lattice structure in finite-dimensional quantum systems
Pollack, J., & Singh, A. (2018) · Quantum Studies Mathematics and Foundations · doi:10.1007/s40509-018-0176-8 · Cited by 8
Incompatible multiple consistent sets of histories and measures of quantumness
Halliwell, J. J. (2017) · Physical Review A · doi:10.1103/physreva.96.012123 · Cited by 5
Many-Body Systems and Quantum Chaos: The Multiparticle Quantum Arnol’d Cat
Mantica, G. (2019) · Condensed Matter · doi:10.3390/condmat4030072 · Cited by 5
A New Modal Interpretation of Quantum Mechanics in Terms of Relational Properties
Berkovitz, J., & Hemmo, M. (2006) · Springer eBooks · doi:10.1007/1-4020-4876-9_1 · Cited by 5
Consistency Conditions for Probabilities of Quantum Histories
Nisticò, G. (1999) · Foundations of Physics · doi:10.1023/a:1018821621870 · Cited by 5
GENERAL RELATIVITY AND QUANTUM MECHANICS
Hartle, J. B. (2001) · International Journal of Modern Physics A · doi:10.1142/s0217751x01002993 · Cited by 5
Quantum Zeno effect in the decoherent histories
Wallden, P. (2007) · Journal of Physics Conference Series · doi:10.1088/1742-6596/67/1/012043 · Cited by 5
Consistent Histories of Systems and Measurements in Spacetime
Seidewitz, E. (2011) · Foundations of Physics · doi:10.1007/s10701-011-9538-3 · Cited by 6
Estimating the reduction time of quantum states
Parisio, F. (2011) · Physical Review A · doi:10.1103/physreva.84.062108 · Cited by 5
A Computational Model for Quantum Measurement
Srikanth, R. (2003) · Quantum Information Processing · doi:10.1023/b:qinp.0000004123.82268.f4 · Cited by 12
Decoherent Histories for Space–Time Domains
Halliwell, J. J. (2007) · Springer eBooks · doi:10.1007/978-3-540-73473-4_6 · Cited by 5
Burch, A. (2004) · Journal of Mathematical Physics · doi:10.1063/1.1723702 · Cited by 5
Castellani, L. (2021) · Physica Scripta · doi:10.1088/1402-4896/abe6c0 · Cited by 5
The Consistent Histories Interpretation of Quantum MechanicsPreprint
MacKinnon, E. M. (2009) · PhilSci-Archive (University of Pittsburgh) · Cited by 5
Quantum theory as a statistical theory under symmetry and complementarityPreprint
Helland, I. S. (2003) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0309178 · Cited by 5
Okazaki, S., Wang, J., Schofield, S. A., & Wolynes, P. G. (1997) · Chemical Physics · doi:10.1016/s0301-0104(97)00198-5 · Cited by 5
Time-Symmetrized Quantum Theory, Counterfactuals, and `Advanced Action'Preprint
Kastner, R. E. (1998) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/9806002 · Cited by 5
The coevent formulation of quantum theoryPreprint
Wallden, P. (2016) · Cited by 7
Quantum vs stochastic processes and the role of complex numbersPreprint
Anastopoulos, C. (2008) · Cited by 6
Decoherence of Histories: Chaotic Versus Integrable Systems
Wang, J., & Strasberg, P. (2025) · Physical Review Letters · doi:10.1103/m8vq-l449 · Cited by 9
Wang, D., Chen, M.-Y., G., Y., Shou, Q., Zhang, S., & Zheng, L. (2025) · Nuclear Science and Techniques · doi:10.1007/s41365-025-01722-3 · Cited by 4
Unitary collapse of Schrödinger's cat state
Stránský, P., Cejnar, P., & Filip, R. (2024) · Physical Review A · doi:10.1103/physreva.110.l030202 · Cited by 4
The Geometrical Meaning of Spinors Lights the Way to Make Sense of Quantum Mechanics
Coddens, G. (2021) · Symmetry · doi:10.3390/sym13040659 · Cited by 4
Statistical model for quantum spin and photon number states
Powers, S., Xu, G., Fotso, H. F., Thomay, T. O., & Stojković, D. (2025) · Physical Review A · doi:10.1103/physreva.111.012217 · Cited by 8
Cho, H.-T., & Hu, B. L. (2025) · Physical review. D/Physical review. D. · doi:10.1103/b4n2-426h · Cited by 6
Contrary Inferences in Consistent Histories and a Set Selection Criterion
Wallden, P. (2014) · Foundations of Physics · doi:10.1007/s10701-014-9837-6 · Cited by 5
Unscrambling Subjective and Epistemic Probabilities
Bacciagaluppi, G. (2020) · Jerusalem studies in philosophy and history of science · doi:10.1007/978-3-030-34316-3_3 · Cited by 4
Hervé Zwirn, C. (2021) · Foundations of Physics · doi:10.1007/s10701-021-00459-4 · Cited by 6
Decoherence: From Interpretation to Experiment
Schlosshauer, M. (2022) · Fundamental theories of physics · doi:10.1007/978-3-030-88781-0_3 · Cited by 6
Is time asymmetry logically prior to quantum mechanics
Wootters, W. K. (1994) · Cited by 4
The coevent formulation of quantum theory
Wallden, P. (2013) · Journal of Physics Conference Series · doi:10.1088/1742-6596/442/1/012044 · Cited by 7
The arrival-time distribution: the extended probability approaches
Boonchui, S., & Hutem, A. (2013) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/46/10/105305 · Cited by 4
How Phase Transitions Induce Classical Behaviour
Rivers, R. J., & Lombardo, F. C. (2005) · International Journal of Theoretical Physics · doi:10.1007/s10773-005-8899-6 · Cited by 6
Making Consistent Inferences from Quantum Measurementsa
Griffiths, R. B. (1986) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1986.tb12454.x · Cited by 4
Self-citationThe Histories of Chaotic Quantum Systems
Thirring, W. E. (1999) · Springer eBooks · doi:10.1007/978-94-017-1454-9_15 · Cited by 4
The Problem of Time in Quantum Cosmology: A Decoherent Histories View
Christodoulakis, T., & Wallden, P. (2011) · Journal of Physics Conference Series · doi:10.1088/1742-6596/283/1/012041 · Cited by 4
Decoherent histories approach to the cosmological measure problem
Lloyd, S. (2023) · Journal of Physics Conference Series · doi:10.1088/1742-6596/2533/1/012011 · Cited by 5
Connecting the quantum and classical worlds
Drossel, B. (2016) · Annalen der Physik · doi:10.1002/andp.201600256 · Cited by 4
Held, C. (2021) · Foundations of Physics · doi:10.1007/s10701-021-00409-0 · Cited by 3
Consistency requirement and operators in quantum mechanics
Skála, L., Brádler, K., & Kapsa, V. (2002) · Czechoslovak Journal of Physics · doi:10.1023/a:1014523917212 · Cited by 4
Mathematical Results on the Foundations of Quantum Mechanics
Schubnel, B. (2014) · Repository for Publications and Research Data (ETH Zurich) · doi:10.3929/ethz-a-010428944 · Cited by 4
Conditional probabilities in Ponzano-Regge minisuperspace
Petryk, R., & Schleich, K. (2003) · Physical Review D · doi:10.1103/physrevd.67.024019 · Cited by 4
Reply to “Validity of the Aharonov Bergmann-Lebowitz rule”
Cohen, O. (1998) · Physical Review A · doi:10.1103/physreva.57.2254 · Cited by 4
Influences, histories, and reality
d’Espagnat, B. (1996) · Foundations of Physics · doi:10.1007/bf02148834 · Cited by 4
Why Do We See a Classical World?Preprint
Römer, H. (2011) · arXiv (Cornell University) · doi:10.48550/arxiv.1112.6271 · Cited by 4
Baudot, P. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1807.04520 · Cited by 6
Halliwell, J. J. (2016) · Cited by 5
Weak Decoherence and Quantum Trajectory GraphsPreprint
Chisolm, E., Sudarshan, E. C. G., & Jordan, T. F. (1995) · Cited by 4
How Phase Transitions induce classical behaviour
Rivers, R. J., & Lombardo, F. C. (2004) · CERN Document Server (European Organization for Nuclear Research) · Cited by 4
Structure Formation in the Early Universe
Hu, B. L., & Verdaguer, E. (2020) · Cambridge University Press eBooks · doi:10.1017/9780511667497.018 · Cited by 4
Classical-quantum correspondence in noise-based dissipative systems
Zeng, J., Xu, G., Huang, W., & Yao, Y. (2024) · Physical Review A · doi:10.1103/physreva.110.062219 · Cited by 3
A Bird’s-Eye View on a New Stochastic Interpretation of Quantum Mechanics
Filho, O. L. D. S., & Ferreira, M. C. R. E. B. (2025) · Mathematics · doi:10.3390/math13213571 · Cited by 3
Bohmian trajectories for an evaporating blackhole
de Barros, J. A., Oliveira-Neto, G., & Vale, T. B. (2005) · Physics Letters A · doi:10.1016/j.physleta.2005.01.042 · Cited by 3
Halliwell, J. J., & Yearsley, J. M. (2013) · Journal of Physics Conference Series · doi:10.1088/1742-6596/442/1/012018 · Cited by 3
Branches in the Everett interpretation
Cunningham, A. J. (2014) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/j.shpsb.2014.01.008 · Cited by 3
Reasoning in Quantum Theory: Modus Ponens and the co-event interpretation
Wallden, P. (2011) · Journal of Physics Conference Series · doi:10.1088/1742-6596/306/1/012044 · Cited by 3
Calculation of the tunneling time using the extended probability of the quantum histories approach
Rewrujirek, J., Hutem, A., & Boonchui, S. (2014) · Physics Letters A · doi:10.1016/j.physleta.2014.02.001 · Cited by 3
A New Quantum Theoretical Framework for Parapsychology
Clarke, C. J. (2008) · Cited by 3
What is Quantum Mechanics? A Minimal Formulation
Friedberg, R., & Hohenberg, P. C. (2018) · Foundations of Physics · doi:10.1007/s10701-018-0145-4 · Cited by 4
Histories in quantum mechanics: distinguishing between formalism and interpretation
Losada, M., & Lombardi, O. (2018) · European Journal for Philosophy of Science · doi:10.1007/s13194-017-0197-x · Cited by 3
Contrary quantum histories and contrary inferences
Losada, M. (2018) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2018.02.214 · Cited by 3
Initial states and decoherence of histories
Scherer, A., & Soklakov, A. N. (2004) · CERN Document Server (European Organization for Nuclear Research) · Cited by 3
Spin and Contextuality in Extended de Broglie-Bohm-Bell Quantum Mechanics
Vink, J. C. (2022) · Foundations of Physics · doi:10.1007/s10701-022-00584-8 · Cited by 3
Decoherence, branching, and the Born rule in a mixed-state Everettian multiverse
Chua, E. Y. S., & Chen, E. K. (2025) · Synthese · doi:10.1007/s11229-025-04949-0 · Cited by 3
Saving Science from Quantum Mechanics
Adlam, E. (2025) · doi:10.1093/9780197808887.001.0001 · Cited by 8
A microscopic model of wave-function dephasing and decoherence in the double-slit experiment
Ramakrishna, S. (2021) · Scientific Reports · doi:10.1038/s41598-021-99995-2 · Cited by 3
Macroscopic Purification of States by Interactions
Narnhofer, H., & Thirring, W. E. (1999) · Springer eBooks · doi:10.1007/978-94-011-4581-7_6 · Cited by 3
From Quantum to Classical: The Quantum State Diffusion Model
Gisin, N., Brun, T. A., & Rigo, M. (1997) · Springer eBooks · doi:10.1007/978-94-011-5886-2_19 · Cited by 3
Metadata
- Authors
- Griffiths, R. B.
- Affiliations
- Carnegie Mellon University (US)
- Corresponding author
- Griffiths, Robert B.
- ORCID
- Griffiths, Robert B.
- Venue
- Journal of Statistical Physics
- Published
- 1984-07
- Volume
- 36
- Issue
- 1-2
- Pages
- 219-272
- ISSN
- 0022-4715 (ISSN-L)
- 1572-9613
- OpenAlex
- W1965682166
- Cited by
- 1,138
- References
- 20
- Citations by year
- 2026: 44 · 2025: 36 · 2024: 27 · 2023: 23 · 2022: 35 · 2021: 30 · 2020: 46 · 2019: 76 · 2018: 34 · 2017: 23 · 2016: 27 · 2015: 19 · 2014: 27 · 2013: 34 · 2012: 32
- FWCI
- 1.58
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Journal of Statistical Physics (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 › Noncommutative and Quantum Gravity Theories
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Philosophy of Biology and Scientific Explanation
- Keywords
- consistent histories, interpretation of quantum mechanics, conditional probability, transition probabilities, consistency conditions, wave function collapse, measurement problem, closed quantum systems, time reversal
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 ›
Are you an author, or do you see a problem with this page? Request a review
